//======================================================================
// disc = -169 = -13^2
//======================================================================
// y^2 = x^6 + 4*x^5 + 6*x^4 + 2*x^3 + x^2 + 2*x + 1
// This is X_1(13), rank = 0, torsion = 19
// #points = 6
// f = 13^2
// red = <13, [I{0}-II-0] page 159, (1)>
//======================================================================
// disc = 249 = 3*83
//======================================================================
// y^2 = x^6 + 2*x^3 + 4*x^2 + 4*x + 1
// rank = 0, torsion = 14
// #points = 5
// f = 2*83 = 249
// red = <3, [I{1-0-0}] page 170, (1)>, <83, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = 277 = 277
//======================================================================
// y^2 = x^6 + 2*x^5 + 3*x^4 + 4*x^3 - x^2 - 2*x + 1
// rank = 0, torsion = 15
// #points = 5
// f = 277
// red = <277, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = -295 = -5*59
//======================================================================
// y^2 = x^6 - 4*x^4 + 2*x^3 + 1
// rank = 0, torsion = 14
// #points = 5
// f = 5*59 = 295
// red = <5,  [I{1-0-0}] page 170, (1)>, <59, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = 349 = 349
//======================================================================
// y^2 = x^6 - 2*x^5 - x^4 + 3*x^2 - 2*x + 1
// rank = 0, torsion = 13
// #points = 5
// f = 349
// red = <349, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = -353 = -353
//======================================================================
// y^2 = x^6 + 2*x^4 + 2*x^3 + 5*x^2 + 2*x + 1
// rank = 0, torsion = 11
// #points = 4
// f = 353
// red = <353, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = 389 = 389
//======================================================================
// y^2 = x^6 - 2*x^5 + 5*x^4 - 8*x^3 + 8*x^2 - 4*x
// rank = 0, torsion = 10
// #points = 4
// f = 389
// red = <389, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = 461 = 461
//======================================================================
// y^2 = x^6 + 4*x^5 - 12*x^3 + 12*x - 8
// rank = 0, torsion = 7
// #points = 3
// f = 461
// red = <461, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = -523 = -523
//======================================================================
// y^2 = x^6 + 2*x^5 + x^4 - 4*x^3 - 4*x^2 + 4*x
// rank = 0, torsion = 10
// #points = 4
// f = 523
// red = <523, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = 529 = 23^2
//======================================================================
// y^2 = x^6 - 4*x^5 + 2*x^4 + 2*x^3 + x^2 + 2*x + 1
// isogenous to X'(23)?, rank = 0, torsion = 11
// #points = 4
// f = 23^2 = 529
// red = <23, [I{1-1-0}] page 179, (1)>
//======================================================================
// disc = 587 = 587
//======================================================================
// y^2 = x^6 + 2*x^4 - 2*x^3 - 3*x^2 + 2*x + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 - 1, 2), height = 0.003773225
// #points = 10 (Chabauty(5))
// f = 587
// red = <587, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = 597 = 3*199
//======================================================================
// y^2 = x^6 - 2*x^5 + 3*x^4 - 5*x^2 + 6*x - 3
// rank = 0, torsion = 7
// #points = 3
// f = 3*199 = 597
// red = <3, [I{1-0-0}] page 170, (1)>, <199, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = -603 = -3*67
//======================================================================
// y^2 = x^6 + 2*x^5 - 3*x^4 - 8*x^3 + 4*x
// rank = 0, torsion = 10
// #points = 4
// f = 3*67
// red = <3, [I{1-0-0}] page 170, (1)>, <67, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = -691 = -691
//======================================================================
// y^2 = x^6 + 2*x^5 - 3*x^4 - 4*x^3 + 4*x
// rank = 0, torsion = 8
// #points = 4
// f = 691
// red = <691, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = 709 = 709
//======================================================================
// y^2 = x^6 - 4*x^5 - 2*x^4 + 12*x^3 + 13*x^2 + 4*x
// rank = 0, torsion = 8
// #points = 4
// f = 709
// red = <709, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = 713 = 23*31
//======================================================================
// y^2 = x^6 + 4*x^5 + 2*x^4 - 2*x^3 + x^2 + 2*x + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 - 1, 2), height = 0.004592442
// #points = 8 (Chabauty(3))
// f = 23*31 = 713
// red = <23, [I{1-0-0}] page 170, (1)>, <31, [I{1-0-0}] page 170, (1)>
//----------------------------------------------------------------------
// y^2 = x^6 - 2*x^4 + 2*x^3 + x^2 + 2*x + 1
// rank = 0, torsion = 9
// #points = 4
// f = 23*31 = 713
// red = <23, [I{1-0-0}] page 170, (1)>, <31, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = -743 = -743
//======================================================================
// y^2 = x^6 - 2*x^4 + 2*x^3 + 5*x^2 + 2*x + 1
// rank = 1, torsion = 1
//  generator = (1, x^3, 2), height = 0.004576880
// #points = 8 (Chabauty(3))
// f = 743
// red = <743, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = -745 = -5*149
//======================================================================
// y^2 = x^6 + 2*x^4 + 2*x^3 + x^2 - 2*x + 1
// rank = 0, torsion = 9
// #points = 4
// f = 5*149 = 745
// red = <5, [I{1-0-0}] page 170, (1)>, <149, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = -763 = -7*109
//======================================================================
// y^2 = x^6 - 6*x^4 + 9*x^2 + 4*x
// rank = 0, torsion = 10
// #points = 4
// f = 7*109
// red = <7, [I{1-0-0}] page 170, (1)>, <109, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = 797 = 797
//======================================================================
// y^2 = x^6 + 4*x^3 - 4*x^2 + 4*x
// rank = 0, torsion = 7
// #points = 3
// f = 797
// red = <797, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = -841 = -29^2
//======================================================================
// y^2 = x^6 - 2*x^5 + 7*x^4 - 6*x^3 + 13*x^2 - 4*x + 8
// isogenous to X'(29)?, rank = 0, torsion = 7
// #points = 2
// f = 29^2 = 841
// red = <29, [I{1-1-0}] page 179, (1)>
//======================================================================
// disc = -847 = -7*11^2
//======================================================================
// y^2 = x^6 - 2*x^5 + 7*x^4 - 8*x^3 + 7*x^2 - 2*x + 1
// rank = 1, torsion = 5
//  generator = (x^2 + x, 1, 2), height = 0.19605596
// #points = 6 (Chabauty(3))
// f = 7*11^2 = 847
// red = <7, [I{1-0-0}] page 170, (1)>, <11, [I{1-1-0}] page 179, (1)>
//======================================================================
// disc = 893 = 19*47
//======================================================================
// y^2 = x^6 - 2*x^4 + 2*x^3 - 3*x^2 + 2*x + 1
// rank = 1, torsion = 1
//  generator = (1, x^3, 2), height = 0.006429183
// #points = 8 (Chabauty(3))
// f = 19*47 = 893
// red = <19, [I{1-0-0}] page 170, (1)>, <47, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = 909 = 3^2*101
//======================================================================
// y^2 = x^6 + 6*x^5 + 13*x^4 + 12*x^3 + 8*x^2 + 4*x
// rank = 0, torsion = 8
// #points = 4
// f = 3^2*101 = 909
// red = <3, [I{1-1-0}] page 179, (1)>, <101, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = 925 = 5^2*37
//======================================================================
// y^2 = x^6 - 2*x^5 - 3*x^4 + 4*x^3 + 8*x^2 + 4*x
// rank = 0, torsion = 8
// #points = 4
// f = 5^2*37 = 925
// red = <5, [I{1-1-0}] page 179, (1)>, <37, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = -953 = -953
//======================================================================
// y^2 = x^6 + 2*x^4 + 6*x^3 + 5*x^2 + 2*x + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 + 1, 2), height = 0.006276191
// #points = 8 (Chabauty(7))
// f = 953
// red = <953, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = -971 = -971
//======================================================================
// y^2 = x^6 - 4*x^5 + 8*x^3 - 4*x
// rank = 1, torsion = 1
//  generator = (x^2 - 1, x, 2), height = 0.00597016
// #points = 7 (Chabauty(3))
// f = 971
// red = <971, [I{1-0-0}] page 170, (1)>
/======================================================================
// disc = 997 = 997
//======================================================================
// y^2 = x^6 - 4*x^4 - 8*x^3 - 8*x^2 - 4*x
// rank = 1, torsion = 3
//  generator = (x^2 + x + 1, 1, 2), height = 0.0812695080
// #points = 7 (Chabauty(5))
// f = 997
// red = <997, [I{1-0-0}] page 170, (1)>
//----------------------------------------------------------------------
// y^2 = x^6 + 2*x^5 + x^4 + 4*x^2 + 4*x
// rank = 0, torsion = 8
// #points = 4
// f = 997
// red = <997, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = -1051 = -1051
//======================================================================
// y^2 = x^6 - 4*x^5 + 4*x^4 - 4*x^2 + 4*x
// rank = 1, torsion = 1
//  generator = (x, x^3, 2), height = 0.007924935
// #points = 7 (Chabauty(3))
// f = 1051
// red = <1051, [I{1-0-0}] page 170, (1)>
//----------------------------------------------------------------------
// y^2 = x^6 + 2*x^5 + x^4 - 4*x^2 - 4*x
// rank = 0, torsion = 8
// #points = 4
// f = 1051
// red = <1051, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = -1055 = -5*211
//======================================================================
// y^2 = x^6 - 4*x^4 + 2*x^3 + 4*x^2 - 4*x - 3
// rank = 0, torsion = 6
// #points = 3
// f = 5*211 = 1055
// red = <5, [I{1-0-0}] page 170, (1)>, <211, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = 1069 = 1069
//======================================================================
// y^2 = x^6 + 4*x^5 + 8*x^4 + 6*x^3 - 4*x^2 - 12*x - 7
// rank = 0, torsion = 7
// #points = 3
// f = 1069
// red = <1069, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = 1077 = 3*359
//======================================================================
// y^2 = x^6 + 4*x^5 + 4*x^4 - 4*x - 8
// rank = 0, torsion = 5
// #points = 3
// f = 3*359 = 1077
// red = <3, [I{1-0-0}] page 170, (1)>, <359, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = -1077
//======================================================================
// y^2 = x^6 + 4*x^5 + 8*x^4 + 6*x^3 + 4*x^2 + 1
// rank = 1, torsion = 2
//  generator = (x, -x^3 - 1, 2), height = 0.035632640
// #points = 8 (Chabauty(7))
// f = 3*359 = 1077
// red = <3, [I{1-0-0}] page 170, (1)>, <359, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = -1083 = 3*19^2
//======================================================================
// y^2 = x^6 + 4*x^5 + 8*x^4 + 12*x^3 + 16*x^2 + 12*x + 4
// rank = 1, torsion = 3
//  generator = (x + 1, -x^3 - 2, 2), height = 0.075149185
// #points = 6 (Chabauty(5))
// f = 3*19^2 = 1083
// red = <3, [I{1-0-0}] page 170, (1)>, <19, [I{1-1-0}] page 179, (1)>
//======================================================================
// disc = 1091 = 1091
//======================================================================
// y^2 = x^6 - 8*x^5 + 8*x^4 - 2*x^3 + 4*x^2 - 4*x + 1
// rank = 1, torsion = 7
//  generator =  (x, -x^3 + 1, 2), height = 0.33939918
// #points = 7 (Chabauty(3,7): <= 9)
// f = 1091
// red = <1091, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = 1109 = 1109
//======================================================================
// y^2 = x^6 + 4*x^5 + 4*x^4 - 4*x^3 - 4*x^2 + 4*x
// rank = 0, torsion = 7
// #points = 3
// f = 1109
// red = <1109, [I{1-0-0}] page 170, (1)>
//----------------------------------------------------------------------
// y^2 = x^6 + 2*x^5 - 3*x^4 - 4*x^3 + 4*x^2 + 4*x - 4
// rank = 0, torsion = 5
// #points = 3
// f = 1109
//======================================================================
// disc = -1123 = -1123
//======================================================================
// y^2 = x^6 - 6*x^5 + 13*x^4 - 12*x^3 + 4*x
// rank = 0, torsion = 8
// #points = 4
// f = 1123
// red = <1123, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = -1127 = -7^2*23
//======================================================================
// y^2 = x^6 - 4*x^5 + 2*x^4 + 6*x^3 - 7*x^2 + 2*x + 1
// rank = 1, torsion = 1
//  generator = (x - 1, x^3 - 2, 2), height = 0.006655978
// #points = 8 (Chabauty(5))
// f = 7^2*23 = 1127
// red = <7, [I{0}-II-0] page 159, (1)>, <23, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = 1137 = 3*379
//======================================================================
// y^2 = x^6 - 2*x^5 + 3*x^4 - 6*x^3 + 5*x^2 - 4*x
// rank = 0, torsion = 6
// #points = 3
// f = 3*379 = 1137
// red = <3, [I{1-0-0}] page 170, (1)>, <379, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = 1145 = 5*229
//======================================================================
// y^2 = x^6 - 2*x^5 - 5*x^4 + 6*x^3 + 5*x^2 - 4*x
// rank = 1, torsion = 2
//  generator = (x, x^3, 2), height = 0.026503505
// #points = 7 (Chabauty(3)?)
// f = 5*229 = 1145
// red = <5, [I{1-0-0}] page 170, (1)>, <229, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = 1205 = 5*241
//======================================================================
// y^2 = 4*x^5 + 8*x^4 - 4*x^2 + 1
// rank = 1, torsion = 1
//  generator = (x, -1, 1), height = 0.0071110434
// #points = 7 (not proved)
// f = 5*241 = 1205
// red = <5, [I{1-0-0}] page 170, (1)>, <241, [I{1-0-0}] page 170, (1)>
//======================================================================
// disc = 1207 = 17*71
//======================================================================
// y^2 = x^6 + 4*x^5 + 8*x^4 + 10*x^3 + 4*x^2 + 1
// rank = 1, torsion = 1 
//  generator = (x + 1, -x^3 - 1, 2), height = 0.0084141284
// #points = 7 (not proved)
// f = 17*71 = 1207
//======================================================================
// disc = 1231 = 1231
//======================================================================
// y^2 = -7*x^6 - 4*x^5 + 8*x^4 + 2*x^3 - 4*x^2 + 1
// rank = 0, torsion = 7
// #points = 3 (not proved)
// f = 1231
//======================================================================
// disc = -1253 = -7*179
//======================================================================
// y^2 = x^6 + 6*x^4 - 2*x^3 + 5*x^2 - 2*x + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 - 1, 2), height = 0.0099411762
// #points = 6 (not proved)
// f = 7*179 = 1253
//======================================================================
// disc = 1269 = 3^3*47
//======================================================================
// y^2 = x^6 - 4*x^5 + 8*x^4 - 8*x^3 + 8*x^2 - 4*x
// rank = 1, torsion = 1
//  generator = (x, -x^3, 2), height = 0.0103326850
// #points = 7 (not proved)
// f = 3^3*47 = 1269
//======================================================================
// disc = 1285 = 5*257
//======================================================================
// y^2 = x^6 - 4*x^5 + 12*x^3 - 8*x^2 + 4*x
// rank = 0, torsion = 7
// #points = 3
// f = 5*257 = 1285
//======================================================================
// disc = 1327 = 1327
//======================================================================
// y^2 = x^6 + 4*x^5 + 8*x^4 + 6*x^3 + 4*x^2 + 4*x + 1
// rank = 1, torsion = 1
//  generator = (x, -x^3 - 1, 2), height = 0.0094117040
// #points = 7 (not proved)
// f = 1327
//======================================================================
// disc = -1331 = -11^3
//======================================================================
// y^2 = x^6 + 6*x^5 + 11*x^4 + 8*x^3 + 11*x^2 + 6*x + 1
// rank = 1, torsion = 5
//  generator = (x + 1, x^3 + 3, 2), height = 0.1795703123
// #points = 6 (not proved)
// f = 11^3 = 1331
//======================================================================
// disc = 1343 = 17*79
//======================================================================
// y^2 = x^6 + 4*x^5 + 6*x^4 + 6*x^3 + x^2 - 2*x + 1
// rank = 1, torsion = 1
//  generator = (1, -x^3 - 2*x^2, 2), height = 0.0076390500
// #points = 8 (not proved)
// f = 17*79 = 1343
//----------------------------------------------------------------------
// y^2 = x^6 + 6*x^5 + 9*x^4 + 6*x^3 - 10*x^2 + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 - 1, 2), height = 0.0132046976
// #points = 8 (not proved)
// f = 17*79 = 1343
//======================================================================
// disc = 1369 = 37^2
//======================================================================
// y^2 = x^6 - 2*x^5 - x^4 - x^2 - 2*x + 1
// rank = 1, torsion = 3
//  generator = (1, x^3 - x^2, 2), height = 0.1022228165
// #points = 6 (not proved)
// f = 37^2 = 1369
//======================================================================
// disc = 1397 = 11*127
//======================================================================
// y^2 = x^6 - 4*x^3 + 4*x
// rank = 1, torsion = 1
//  generator = (x, -x^3, 2), height = 0.0088040057
// #points = 7 (not proved)
// f = 11*127 = 1397
//======================================================================
// disc = -1403 = -23*61
//======================================================================
// y^2 = x^6 - 4*x^4 - 4*x^3 + 4*x^2 + 4*x
// rank = 1, torsion = 1
//  generator = (x, -x^3, 2), height = 0.0088054074
// #points = 7 (not proved)
// f = 23*61 = 1403
//======================================================================
// disc = -1415 = -5*283
//======================================================================
// y^2 = 4*x^5 + 9*x^4 + 2*x^3 - 5*x^2 - 2*x + 1
// rank = 1, torsion = 2
//  generator = (x^2 + x, -1, 2), height = 0.0344092616
// #points = 7 (not proved)
// f = 5*283 = 1415
//======================================================================
// disc = 1473 = 3*491
//======================================================================
// y^2 = x^6 + 2*x^5 + 3*x^4 - 2*x^3 - 3*x^2 - 4*x
// rank = 0, torsion = 6
// #points = 3
// f = 3*491 = 1473
//======================================================================
// disc = 1497 = 3*499
//======================================================================
// y^2 = x^6 - 2*x^4 - 6*x^3 - 7*x^2 - 6*x - 3
// rank = 1, torsion = 1
//  generator = (x^2 + x + 1, x, 2), height = 0.0217721371
// #points = 4 (not proved)
// f = 3*499 = 1497
//======================================================================
// disc = 1499 = 1499
//======================================================================
// y^2 = x^6 + 2*x^5 - x^4 - 2*x^3 + 5*x^2 + 4*x
// rank = 1, torsion = 1
//  generator = (x, -x^3, 2), height = 0.0090404703
// #points = 7 (not proved)
// f = 1499
//======================================================================
// disc = -1519 = -7^2*31
//======================================================================
// y^2 = x^6 - 6*x^4 + 2*x^3 + 9*x^2 - 2*x - 3
// rank = 1, torsion = 1
//  generator = (x^2 - 1, -1, 2), height = 0.0111326890
// #points = 6 (not proved)
// f = 7^2*31 = 1519
//======================================================================
// disc = 1549 = 1549
//======================================================================
// y^2 = x^6 - 2*x^5 - 3*x^4 + 6*x^3 + 6*x^2 - 4*x - 3
// rank = 1, torsion = 1
//  generator = (1, x^3 - x^2, 2), height = 0.0119137856
// #points = 8 (not proved)
// f = 1549
//======================================================================
// disc = 1573 = 11^2*13
//======================================================================
// y^2 = x^6 - 6*x^5 + 11*x^4 - 16*x^3 + 11*x^2 - 6*x + 1
// rank = 1, torsion = 5
//  generator = (x^2, 3*x - 1, 2), height = 0.4800676637
// #points = 4 (not proved)
// f = 11^2*13 = 1573
//======================================================================
// disc = 1589 = 7*227
//======================================================================
// y^2 = 4*x^5 - 4*x^4 - 8*x^3 + 4*x^2 + 8*x - 3
// rank = 0, torsion = 5
// #points = 3
// f = 2*227 = 1589
//======================================================================
// disc = 1637 = 1637
//======================================================================
// y^2 = x^6 - 4*x^4 - 4*x^3 - 4*x^2 - 4*x
// rank = 1, torsion = 1
//  generator = (x + 1, x^3 + 2, 2), height = 0.0121025966
// #points = 7 (not proved)
// f = 1637
//======================================================================
// disc = -1643 = -31*53
//======================================================================
// y^2 = x^6 + 2*x^5 - x^4 - 5*x^2 + 2*x + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 - 1, 2), height = 0.0112283958
// #points = 7 (not proved)
// f = 31*53 = 1643
//======================================================================
// disc = 1647 = 3^3*61
//======================================================================
// y^2 = x^6 + 2*x^5 + x^4 + 2*x^3 + 2*x^2 + 4*x + 1
// rank = 1, torsion = 1
//  generator = (1, x^3 + x^2, 2), height = 0.0162246060
// #points = 6 (not proved)
// f = 3^3*61 = 1647
//======================================================================
// disc = -1655 = -5*331
//======================================================================
// y^2 = x^6 + 2*x^5 + 3*x^4 + 6*x^3 + x^2 - 4*x
// rank = 1, torsion = 2
//  generator = (x + 1, x^3 + 2, 2), height = 0.0369019322
// #points = 7 (not proved)
// f = 5*331 = 1655
//======================================================================
// disc = 1689 = 3*563
//======================================================================
// y^2 = x^6 + 2*x^5 + 7*x^4 + 10*x^3 + 9*x^2 + 4*x
// rank = 1, torsion = 2
//  generator = (x, x^3, 2), height = 0.0555297467
// #points = 5 (not proved)
// f = 3*563 = 1689
//======================================================================
// disc = -1695 = -3*5*113
//======================================================================
// y^2 = x^6 + 2*x^5 - x^4 - 6*x^3 - 3*x^2 + 4*x
// rank = 0, torsion = 6
// #points = 3
// f = 3*5*113 = 1695
//======================================================================
// disc = 1717 = 17*101
//======================================================================
// y^2 = x^6 - 2*x^4 - 8*x^3 - 7*x^2 - 4*x
// rank = 1, torsion = 1
//  generator = (x^2 + x + 1, x + 1, 2), height = 0.0175330690
// #points = 5 (not proved)
// f = 17*101 = 1717
//----------------------------------------------------------------------
// y^2 = 4*x^5 + 9*x^4 + 12*x^3 + 8*x^2 + 4*x
// rank = 0, torsion = 4
// #points = 2
// f = 17*101 = 1717
//======================================================================
// disc = -1721 = -1721
//======================================================================
// y^2 = x^6 + 4*x^5 + 4*x^4 - 2*x^3 + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 - 1, 2), height = 0.0098168818
// #points = 8 (not proved)
// f = 1721
//======================================================================
// disc = -1753 = -1753
//======================================================================
// y^2 = x^6 - 2*x^3 + 4*x^2 + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 - 1, 2), height = 0.0114364489
// #points = 6 (not proved)
// f = 1753
//======================================================================
// disc = 1757 = 7*251
//======================================================================
// y^2 = x^6 + 2*x^5 + 3*x^4 + 8*x^3 + 7*x^2 + 2*x + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 + 1, 2), height = 0.0107130055
// #points = 7 (not proved)
// f = 7*251 = 1757
//======================================================================
// disc = 1777 = 1777
//======================================================================
// y^2 = x^6 + 6*x^5 + 5*x^4 - 18*x^3 - 10*x^2 + 28*x - 11
// rank = 1, torsion = 1
//  generator = (x - 1, x^3, 2), height = 0.0390154511
// #points = 6 (not proved)
// f = 1777
//======================================================================
// disc = -1811 = -1811
//======================================================================
// y^2 = x^6 - 4*x^4 - 6*x^3 + 4*x + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 - 1, 2), height = 0.0119801583
// #points = 7 (not proved)
// f = 1811
//----------------------------------------------------------------------
// y^2 = x^6 + 2*x^5 - x^4 - x^2 - 6*x + 5
// rank = 0, torsion = 7
// #points = 3
// f = 1811
//======================================================================
// disc = 1813 = 7^2*37
//======================================================================
// y^2 = x^6 - 4*x^5 + 4*x^4 - 8*x^3 + 4*x^2 - 4*x
// rank = 1, torsion = 1
//  generator = (x^2 + 1, x, 2), height = 0.0216395257
// #points = 5 (not proved)
// f = 7^2*37 = 1813
//======================================================================
// disc = -1835 = -5*367
//======================================================================
// y^2 = x^6 - 2*x^5 + 7*x^4 - 4*x^3 - 5*x^2 + 2*x + 1
// rank = 1, torsion = 1
//  generator = (x^2 - x, x - 1, 2), height = 0.0089615067
// #points = 7 (not proved)
// f = 5*367 = 1835
//----------------------------------------------------------------------
// y^2 = x^6 - 8*x^4 + 16*x^2 + 4*x - 8
// rank = 0, torsion = 5
// #points = 3
// f = 5*367 = 1835
//======================================================================
// disc = 1861 = 1861
//======================================================================
// y^2 = x^6 - 2*x^4 + 6*x^3 - 3*x^2 + 2*x + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 + 1, 2), height = 0.0174792431
// #points = 6 (not proved)
// f = 1861
//======================================================================
// disc = -1863 = -3^4*23
//======================================================================
// y^2 = x^6 + 2*x^5 - 7*x^4 - 10*x^3 + 18*x^2 + 12*x - 15
// rank = 1, torsion = 1
//  generator = (x^2 + x - 2, 1, 2), height = 0.0096640751
// #points = 6 (not proved)
// f = 3^4*23 = 1863
//----------------------------------------------------------------------
// y^2 = x^6 + 2*x^5 - 3*x^4 - 2*x^3 + 6*x^2 - 3
// rank = 1, torsion = 1
//  generator = (x^2 - 1, x, 2), height = 0.01702858397
// #points = 8 (not proved)
// f = 3^4*23 = 1863
//======================================================================
// disc = 1915 = 5*383
//======================================================================
// y^2 = x^6 + 4*x^5 + 6*x^4 + 6*x^3 + x^2 - 6*x + 1
// rank = 1, torsion = 1
//  generator = (1, x^3 + 2*x^2, 2), height = 0.0113476849
// #points = 8 (not proved)
// f = 5*383 = 1915
//======================================================================
// disc = 1919 = 19*101
//======================================================================
// y^2 = x^6 - 6*x^3 + 4*x^2 + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 - 1, 2), height = 0.0102151628
// #points = 7 (not proved)
// f = 19*101 = 1919
//======================================================================
// disc = -1923 = -3*641
//======================================================================
// y^2 = -3*x^6 + 6*x^5 - 11*x^4 + 10*x^3 - 10*x^2 + 4*x - 3
// rank = 0, torsion = 5
// #points = 0 (note : J is odd)
// f = 3*641 = 1923
//======================================================================
// disc = 1929 = 3*643
//======================================================================
// y^2 = x^6 - 2*x^5 - x^4 - 6*x^3 - 3*x^2 - 4*x
// rank = 1, torsion = 2
//  generator = (x^2 + 1, -1, 2), height = 0.0794634055
// #points = 5 (not proved)
// f = 3*643 = 1929
//======================================================================
// disc = -1961 = -37*53
//======================================================================
// y^2 = x^6 - 2*x^3 - 4*x^2 + 4*x + 1
// rank = 1, torsion = 1
//  generator = (x - 1, x^3 - 1, 2), height = 0.0118813380
// #points = 7 (not proved)
// f = 37*53 = 1961
//======================================================================
// disc = 1973 = 1973
//======================================================================
// y^2 = x^6 + 2*x^5 - x^4 - 4*x^3 - x^2 - 2*x + 1
// rank = 1, torsion = 1
//  generator = (1, x^3 + x^2, 2), height = 0.0119019460
// #points = 6 (not proved)
// f = 1973
//======================================================================
// disc = 1981 = 7*283
//======================================================================
// y^2 = x^6 - 4*x^4 - 4*x^3 + 8*x^2 + 4*x
// rank = 0, torsion = 7
// #points = 3
// f = 7*283 = 1981
//======================================================================
// disc = -1985 = -5*397
//======================================================================
// y^2 = x^6 - 4*x^5 + 4*x^4 - 2*x^3 + 4*x + 1
// rank = 1, torsion = 2
//  generator = (1, x^3 - 2*x^2, 2), height = 0.0418511374
// #points = 6 (not proved)
// f = 5*397 = 1985
//======================================================================
// disc = 1987 = 1987
//======================================================================
// y^2 = x^6 - 2*x^4 - 2*x^3 + 5*x^2 + 2*x - 3
// rank = 1, torsion = 1
//  generator = (1, x^3, 2), height = 0.0178286100
// #points = 6 (not proved)
// f = 1987
//======================================================================
// disc = 1989 = 3^2*13*17
//======================================================================
// y^2 = x^6 - 4*x^5 + 8*x^4 - 8*x^3 + 4*x^2 - 4*x
// rank = 0, torsion = 5
// #points = 3
// f = 3^2*13*17 = 1989
//======================================================================
// disc = 1991 = 11*181
//======================================================================
// y^2 = x^6 - 4*x^5 + 8*x^4 - 2*x^3 - 4*x^2 + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 + 1, 2), height = 0.0097376528
// #points = 7 (not proved)
// f = 11*181 = 1991
//======================================================================
// disc = 2001 = 3*23*29
//======================================================================
// y^2 = x^6 + 4*x^5 + 6*x^4 + 6*x^3 + x^2 + 2*x + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 + 1, 2), height = 0.0189795794
// #points = 6 (not proved)
// f = 3*23*29 = 2001
//----------------------------------------------------------------------
// y^2 = x^6 + 4*x^5 + 2*x^4 - 6*x^3 + x^2 + 6*x - 3
// rank = 0, torsion = 5
// #points = 2
// f = 3*23*29 = 2001
//======================================================================
// disc = 2027 = 2027
//======================================================================
// y^2 = x^6 + 4*x^5 + 6*x^4 + 10*x^3 + 9*x^2 + 6*x + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 + 1, 2), height = 0.0230536798
// #points = 4 (not proved)
// f = 2027
//======================================================================
// disc = -2043 = -3^2*227
//======================================================================
// y^2 = 4*x^5 - 16*x^3 + 9*x^2 + 4*x
// rank = 0, torsion = 8
// #points = 4
// f = 3^2*227 = 2043
//======================================================================
// disc = -2059 = -29*71
//======================================================================
// y^2 = x^6 - 8*x^4 + 8*x^3 + 4*x^2 - 4*x
// rank = 1, torsion = 3
//  generator = (x, x^3, 2), height = 0.0960365442
// #points = 7 (not proved)
// f = 29*71 = 2059
//======================================================================
// disc = 2063 = 2063
//======================================================================
// y^2 = x^6 - 2*x^5 + x^4 - 6*x^3 + 6*x^2 + 4*x + 1
// rank = 1, torsion = 1
//  generator = (x^2 - x - 1, x - 1, 2), height = 0.0116561036
// #points = 6 (not proved)
// f = 2063
//======================================================================
// disc = 2069 = 2069
//======================================================================
// y^2 = x^6 - 4*x^5 + 12*x^3 - 12*x - 4
// rank = 1, torsion = 1
//  generator = (1, x^3 - 2*x^2, 2), height = 0.0132830809
// #points = 6 (not proved)
// f = 2069
//======================================================================
// disc = 2101 = 11*191
//======================================================================
// y^2 = x^6 - 4*x^2 + 4*x
// rank = 1, torsion = 1
//  generator = (x, x^3, 2), height = 0.0140836590
// #points = 7 (not proved)
// f = 11*191 = 2101
//======================================================================
// disc = 2117 = 29*73
//======================================================================
// y^2 = x^6 - 4*x^5 - 2*x^4 + 12*x^3 + 5*x^2 - 4*x
// rank = 0, torsion = 8
// #points = 4
// f = 29*73 = 2117
//======================================================================
// disc = -2165 = -5*433
//======================================================================
// y^2 = x^6 - 2*x^5 - 5*x^4 + 10*x^3 + 9*x^2 - 12*x - 8
// rank = 1, torsion = 2
//  generator = (x^2 - x - 2, x, 2), height = 0.0618190963
// #points = 6 (not proved)
// f = 5*433 = 2165
//======================================================================
// disc = -2207 = -2207
//======================================================================
// y^2 = x^6 + 2*x^5 + 3*x^4 + 4*x^3 + 3*x^2 - 2*x + 1
// rank = 1, torsion = 1
//  generator = (1, x^3 + x^2, 2), height = 0.0124815315
// #points = 6 (not proved)
// f = 2207
//======================================================================
// disc = -2243 = -2243
//======================================================================
// y^2 = x^6 - 2*x^5 - x^4 + 8*x^3 - 5*x^2 - 2*x + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 + 1, 2), height = 0.0116855739
// #points = 7 (not proved)
// f = 2243
//======================================================================
// disc = -2251 = -2251
//======================================================================
// y^2 = 4*x^5 - 3*x^4 - 8*x^3 + 4*x^2 + 4*x
// rank = 1, torsion = 2
//  generator = (x^2 - x - 1, -x - 1, 2), height = 0.0544330026
// #points = 8 (not proved)
// f = 2251
//======================================================================
// disc = 2261 = 7*17*19
//======================================================================
// y^2 = x^6 + 4*x^5 + 4*x^4 + 4*x
// rank = 0, torsion = 5
// #points = 3
// f = 7*17*19 = 2261
//======================================================================
// disc = -2299 = -11^2*19
//======================================================================
// y^2 = x^6 + 4*x^5 + 10*x^4 + 10*x^3 + 9*x^2 + 2*x + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 + 1, 2), height = 0.0186001161
// #points = 6 (not proved)
// f = 11^2*19 = 2299
//======================================================================
// disc = -2305 = -5*461
//======================================================================
// y^2 = x^6 - 4*x^5 + 6*x^4 - 2*x^3 + x^2 + 2*x + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 + 1, 2), height = 0.0152064757
// #points = 6 (not proved)
// f = 5*461 = 2305
//======================================================================
// disc = 2309 = 2309
//======================================================================
// y^2 = x^6 + 2*x^5 + 3*x^4 - 2*x^3 - 7*x^2 - 4*x
// rank = 1, torsion = 1
//  generator = (x + 1, x^3, 2), height = 0.0139666654
// #points = 7 (not proved)
// f = 2309
//======================================================================
// disc = 2335 = 5*467
//======================================================================
// y^2 = x^6 + 2*x^5 + x^4 - 4*x^3 - 4*x^2 - 4*x
// rank = 1, torsion = 1
//  generator = (x, x^3, 2), height = 0.0185096132
// #points = 5 (not proved)
// f = 5*467 = 2335
//======================================================================
// disc = 2341 = 2341
//======================================================================
// y^2 = -4*x^5 + 8*x^4 - 8*x^3 + 4*x - 3
// rank = 0, torsion = 3
// #points = 1
// f = 2341
//======================================================================
// disc = 2345 = 5*7*67
//======================================================================
// y^2 = x^6 - 2*x^5 - 5*x^4 + 10*x^3 + x^2 - 4*x
// rank = 1, torsion = 2
//  generator = (x - 1, x^3 - 2, 2), height = 0.0480545693
// #points = 7 (not proved)
// f = 5*7*67 = 2345
//======================================================================
// disc = 2349 = 3^4*29
//======================================================================
// y^2 = x^6 + 4*x^4 - 10*x^3 + 4*x + 1
// rank = 1, torsion = 1
//  generator = (x^2 - x, x - 1, 2), height = 0.0096104430
// #points = 7 (not proved)
// f = 3^4*29 = 2349
//======================================================================
// disc = -2357 = -2357
//======================================================================
// y^2 = x^6 + 4*x^5 - 6*x^3 - 4*x^2 + 4*x + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 - 1, 2), height = 0.0185364337
// #points = 7 (not proved)
// f = 2357
//======================================================================
// disc = -2363 = -17*139
//======================================================================
// y^2 = 4*x^5 + 12*x^4 + 8*x^3 + x^2 + 4*x
// rank = 0, torsion = 4
// #points = 2
// f = 17*139 = 2363
//======================================================================
// disc = -2371 = -2371
//======================================================================
// y^2 = -4*x^5 + 20*x^4 - 28*x^3 + 9*x^2 - 4*x
// rank = 0, torsion = 4
// #points = 2
// f = 2371
//======================================================================
// disc = 2405 = 5*13*37
//======================================================================
// y^2 = -4*x^5 - 3*x^4 + 28*x^3 + 30*x^2 - 12*x + 1
// rank = 1, torsion = 4
//  generator = (x + 2, 1, 1), height = 0.1981831487
// #points = 7 (not proved)
// f = 5*13*37 = 2405
//======================================================================
// disc = 2421 = 3^2*269
//======================================================================
// y^2 = x^6 - 4*x^5 + 2*x^4 + 8*x^3 - 3*x^2 - 8*x - 4
// rank = 0, torsion = 8
// #points = 4
// f = 3*269 = 807 (!)
//======================================================================
// disc = -2505 = -3*5*167
//======================================================================
// y^2 = x^6 - 2*x^5 + 5*x^4 - 6*x^3 + 6*x^2 + 1
// rank = 1, torsion = 1
//  generator = (1, x^3 - x^2, 2), height = 0.0196994762
// #points = 4 (not proved)
// f = 3*5*167 = 2505
//======================================================================
// disc = -2507 = -23*109
//======================================================================
// y^2 = x^6 - 8*x^4 - 12*x^3 - 8*x^2 - 4*x
// rank = 1, torsion = 1
//  generator = (x + 1, x^3 + 2, 2). height = 0.0157637637
// #points = 7 (not proved)
// f = 23*109 = 2507
//======================================================================
// disc = -2511 = -3^4*31
//======================================================================
// y^2 = x^6 - 2*x^4 - 2*x^3 - 3*x^2 + 2*x + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 - 1, 2), height = 0.0179242554
// #points = 6 (not proved)
// f = 3^4*31 = 2511
//======================================================================
// disc = 2563 = 11*233
//======================================================================
// y^2 = x^6 - 2*x^5 - 5*x^4 + 2*x^3 + x^2 - 4*x
// rank = 1, torsion = 1
//  generator = (x + 1, x^3 + 2, 2), height = 0.0194149725
// #points = 7 (not proved)
// f = 11*233 = 2563
//======================================================================
// disc = -2575 = -5^2*103
//======================================================================
// y^2 = x^6 - 2*x^5 - x^4 - 2*x^3 + 5*x^2 + 4*x
// rank = 0, torsion = 6
// #points = 3
// f = 5^2*103 = 2575
//======================================================================
// disc = 2575 = 5^2*103
//======================================================================
// y^2 = x^6 + 2*x^5 + 5*x^4 + 2*x^3 - 6*x^2 + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 - 1, 2), height = 0.0151836980
// #points = 6 (not proved)
// f = 5^2*103 = 2575
//======================================================================
// disc = -2591 = -2591
//======================================================================
// y^2 = x^6 - 2*x^5 - x^4 + 2*x^3 - 3*x^2 + 4*x
// rank = 1, torsion = 1
//  generator = (x, x^3, 2), height = 0.0159260757
// #points = 5 (not proved)
// f = 2591
//======================================================================
// disc = 2613 = 3*13*67
//======================================================================
// y^2 = x^6 - 4*x^4 + 4*x^2 + 4*x
// rank = 0, torsion = 5
// #points = 3
// f = 3*13*67 = 2613
//======================================================================
// disc = -2663 = -2663
//======================================================================
// y^2 = x^6 + 4*x^5 + 2*x^4 - 2*x^3 + 9*x^2 + 6*x + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 - 1, 2), height = 0.0127975731
// #points = 6 (not proved)
// f = 2663
//======================================================================
// disc = 2677 = 2677
//======================================================================
// y^2 = x^6 - 4*x^5 + 12*x^4 - 16*x^3 + 16*x^2 - 4*x
// rank = 0, torsion = 5
// #points = 3
// f = 2677
//======================================================================
// disc = 2693 = 2693
//======================================================================
// y^2 = 4*x^5 + 8*x^4 + 4*x^3 + 1
// rank = 1, torsion = 1
//  generator = (x^2 + x, 1, 2), height = 0.0162593830
// #points = 7 (not proved)
// f = 2693
//======================================================================
// disc = 2697 = 3*29*31
//======================================================================
// y^2 = x^6 + 2*x^5 - 3*x^4 - 6*x^3 + 2*x^2 + 4*x - 3
// rank = 0, torsion = 3
// #points = 2
// f = 3*29*31 = 2697
//======================================================================
// disc = 2725 = 5^2*109
//======================================================================
// y^2 = x^6 - 4*x^5 + 4*x^4 + 4*x^2 - 4*x
// rank = 1, torsion = 1
//  generator = (x, x^3, 2), height = 0.0141433420
// #points = 5 (not proved)
// f = 5^2*109 = 2725
//======================================================================
// disc = 2743 = 13*211
//======================================================================
// y^2 = x^6 + 2*x^5 - x^4 - 2*x^3 - 3*x^2 + 4*x
// rank = 1, torsion = 1
//  generator = (x, x^3, 2), height = 0.0192867302
// #points = 7 (not proved)
// f = 13*211 = 2743
//======================================================================
// disc = 2797 = 2797
//======================================================================
// y^2 = x^6 + 2*x^5 - 3*x^4 - 6*x^3 + 2*x^2 + 1
// rank = 1, torsion = 1
//  generator = (1, x^3 + x^2, 2), height = 0.0151827328
// #points = 6 (not proved)
// f = 2797
//======================================================================
// disc = 2813 = 29*97
//======================================================================
// y^2 = x^6 - 2*x^5 + x^4 - 6*x^3 + 2*x^2 - 4*x + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 - 1, 2), height = 0.0198802932
// #points = 6 (not proved)
// f = 29*97 = 2813
//======================================================================
// disc = 2837 = 2837
//======================================================================
// y^2 = -4*x^5 - 4*x^4 + 8*x^3 + 5*x^2 - 4*x
// rank = 1, torsion = 2
//  generator = (x^2 + x - 1, -x, 2), height = 0.0614455955
// #points = 8 (not proved)
// f = 2837
//----------------------------------------------------------------------
// y^2 = 4*x^5 - 8*x^4 + 12*x^3 - 7*x^2 + 4*x
// rank = 0, torsion = 4
// #points = 2
// f = 2837
//======================================================================
// disc = -2875 = -5^3*23
//======================================================================
// y^2 = x^6 - 2*x^5 - 3*x^4 + 8*x^3 - 8*x^2 + 4*x
// rank = 1, torsion = 2
//  generator = (x, x^3, 2), height = 0.083377735
// #points = 6 (not proved)
// f = 5^3*23 = 2875
//======================================================================
// disc = -2891 = -7^2*59
//======================================================================
// y^2 = -4*x^5 - 8*x^4 + 4*x^2 + 1
// rank = 1, torsion = 3
//  generator = (x, 1, 1), height = 0.1270141315
// #points = 7 (not proved)
// f = 7^2*59 = 2891
//======================================================================
// disc = -2915 = -5*11*53
//======================================================================
// y^2 = x^6 - 2*x^4 - 6*x^3 + x^2 + 10*x + 5
// rank = 1, torsion = 1
//  generator = (x^2 - x - 1, x, 2), height = 0.0145861258
// #points = 6 (not proved)
// f = 5*11*53 = 2915
//======================================================================
// disc = 2917 = 2917
//======================================================================
// y^2 = x^6 - 2*x^5 + 3*x^4 - 2*x^3 + 5*x^2 - 4*x
// rank = 1, torsion = 1
//  generator = (x, x^3, 2), height = 0.0179104522
// #points = 7 (not proved)
// f = 2917
//======================================================================
// disc = 2949 = 3*983
//======================================================================
// y^2 = x^6 + 2*x^5 + x^4 + 2*x^3 - 2*x^2 - 3
// rank = 1, torsion = 1
//  generator = (1, x^3 + x^2, 2), height = 0.0396779101
// #points = 4 (not proved)
// f = 3*983 = 2949
//----------------------------------------------------------------------
// y^2 = x^6 + 6*x^5 + 9*x^4 + 6*x^3 + 14*x^2 - 8*x + 1
// rank = 1, torsion = 1
//  generator = (x^2, 4*x - 1, 2), height = 0.0152479621
// #points = 6 (not proved)
// f = 3*983 = 2949
//======================================================================
// disc = -2955 = -3*5*197
//======================================================================
// y^2 = -4*x^6 + 8*x^5 - 11*x^4 + 4*x^3 - 2*x^2 - 3
// rank = 0, torsion = 4
// #points = 0 (note: J is odd)
// f = 3*5*197 = 2955
//======================================================================
// disc = 2977 = 13*229
//======================================================================
// y^2 = x^6 + 4*x^5 + 6*x^4 + 2*x^3 - 3*x^2 + 2*x + 1
// rank = 1, torsion = 1
//  generator = (1, x^3 + 2*x^2, 2), height = 0.0213476940
// #points = 6 (not proved)
// f = 13*229 = 2977
//----------------------------------------------------------------------
// y^2 = x^6 + 6*x^5 + 7*x^4 - 10*x^3 - 11*x^2 + 4*x
// rank = 0, torsion = 6
// #points = 3
// f = 13*229 = 2977
//======================================================================
// disc = 2981 = 11*271
//======================================================================
// y^2 = x^6 + 2*x^5 - 3*x^4 - 6*x^3 - 2*x^2 - 4*x + 1
// rank = 1, torsion = 1
//  generator = (1, x^3 + x^2, 2), height = 0.0181641175
// #points = 6 (not proved)
// f = 11*271 = 2981
//======================================================================
// disc = -2989 = -7^2*61
//======================================================================
// y^2 = x^6 + 4*x^5 - 4*x^4 - 18*x^3 + 16*x^2 + 16*x - 15
// rank = 0, torsion = 14
// #points = 4
// f = 7*61 = 427 (!)
//======================================================================
// disc = 3031 = 7*433
//======================================================================
// y^2 = 4*x^5 + 13*x^4 + 6*x^3 - 5*x^2 - 2*x + 1
// rank = 1, torsion = 1
//  generator = (x, 1, 1), height = 0.0118109482
// #points = 7 (not proved)
// f = 7*433 = 3031
//======================================================================
// disc = 3037 = 3037
//======================================================================
// y^2 = x^6 - 4*x^5 + 14*x^3 - 20*x - 11
// rank = 1,torsion = 1
//  generator = (x + 1, x^3 + 1, 2), height = 0.0458001005
// #points = 5 (not proved)
// f = 3037
//======================================================================
// disc = 3061 = 3061
//======================================================================
// y^2 = x^6 - 4*x^5 + 6*x^4 - 4*x^3 + x^2 - 4*x
// rank = 0, torsion = 5
// #points = 3
// f = 3061
//======================================================================
// disc = -3071 = -37*83
//======================================================================
// y^2 = -4*x^5 - 23*x^4 - 2*x^3 + 15*x^2 + 2*x - 3
// rank = 0, torsion = 2
// #points = 1
// f = 37*83 = 3071
//======================================================================
// disc = 3077 = 17*181
//======================================================================
// y^2 = x^6 + 4*x^4 + 4*x^3 + 4*x^2 + 4*x
// rank = 1, torsion = 1
//  generator = (x, x^3, 2), height = 0.021469429
// #points = 5 (not proved)
// f = 17*181 = 3077
//======================================================================
// disc = -3103 = -29*107
//======================================================================
// y^2 = x^6 + 2*x^5 + 7*x^4 + 8*x^3 + 15*x^2 + 10*x + 9
// rank = 1, torsion = 1
//  generator = (1, x^3 + x^2, 2), height = 0.0246161442
// #points = 4 (not proved)
// f = 29*107 = 3103
//======================================================================
// disc = 3103 = 29*107
//======================================================================
// y^2 = x^6 - 6*x^5 + 9*x^4 - 2*x^3 + 2*x^2 + 4*x + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 + 1, 2), height = 0.0105272655
// #points = 6 (not proved)
// f = 29*107 = 3103
//======================================================================
// disc = 3105 = 3^3*5*23
//======================================================================
// y^2 = x^6 + 2*x^4 + 2*x^3 - 3*x^2 + 2*x + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 + 1, 2), height = 0.0211293937
// #points = 4 (not proved)
// f = 3^3*5*23 = 3105
//======================================================================
// disc = 3109 = 3109
//======================================================================
// y^2 = x^6 - 2*x^4 + x^2 + 4*x
// rank = 1, torsion = 5
//  generator = (x - 1, x^3 + 1, 2), height = 0.6013922675
// #points = 5 (not proved)
// f = 3109
//======================================================================
// disc = 3125 = 5^5
//======================================================================
// y^2 = x^6 + 4*x
// rank = 0, torsion = 5
// #points = 3
// f = 5^5 = 3125
//======================================================================
// disc = 3141 = 3^2*349
//======================================================================
// y^2 = x^6 + 2*x^4 + x^2 - 4*x
// rank = 0, torsion = 10
// #points = 4
// f = 3*349 = 1047 (!)
//======================================================================
// disc = -3161 = -29*109
//======================================================================
// y^2 = x^6 + 2*x^5 + 9*x^4 + 10*x^3 + 22*x^2 + 12*x + 17
// rank = 1, torsion = 1
//  generator = (x^2 + x + 2, 1, 2), height = 0.0223716806
// #points = 4 (not proved)
// f = 29*109 = 3161
//----------------------------------------------------------------------
// y^2 = x^6 - 2*x^5 - x^4 - 2*x^3 + 9*x^2 - 4*x
// rank = 1, torsion = 1
//  generator = (x - 1, x^3 - 2, 2), height = 0.0138540096
// #points = 7 (not proved)
// f = 29*109 = 3161
//----------------------------------------------------------------------
// y^2 = x^6 + 4*x^5 + 6*x^4 + 10*x^3 + 13*x^2 + 2*x + 1
// rank = 1, torsion = 1
//  generator = (x^2 + 2*x, x + 1, 2), height = 0.0162317328
// #points = 8 (not proved)
// f = 29*109 = 3161
//======================================================================
// disc = 3189 = 3*1063
//======================================================================
// y^2 = x^6 + 4*x^5 + 6*x^4 + 4*x^3 + x^2 - 4*x
// rank = 1, torsion = 5
//  generator = (x + 1, x^3 - 1, 2), height = 0.4669042435
// #points = 5 (not proved)
// f = 3*1063 = 3189
//======================================================================
// disc = -3211 = -13^2*19
//======================================================================
// y^2 = -4*x^5 - 7*x^4 + 2*x^2 + 1
// rank = 1, torsion = 2
//  generator = (x^2 + x, -x - 1, 2), height = 0.0759852318
// #points = 6 (not proved)
// f = 13^2*19 = 3211
//----------------------------------------------------------------------
// y^2 = x^6 + 2*x^5 - 5*x^4 - 4*x^3 + 11*x^2 - 2*x - 3
// rank = 0, torsion = 5
// #points = 3
// f = 13^2*19 = 3211
//======================================================================
// disc = -3215 = -5*643
//======================================================================
// y^2 = x^6 + 6*x^5 + 11*x^4 + 10*x^3 + 13*x^2 + 4*x
// rank = 0, torsion = 6
// #points = 3
// f = 5*643 = 3215
//======================================================================
// disc = -3251 = -3251
//======================================================================
// y^2 = -4*x^5 + 4*x^4 + 4*x^3 - 8*x^2 - 4*x + 1
// rank = 1, torsion = 1
//  generator = (x^2 + x, 2*x + 1, 2), height = 0.0255384508
// #points = 5 (not proved)
// f = 3251
//======================================================================
// disc = -3275 = -5^2*131
//======================================================================
// y^2 = -4*x^5 - 7*x^4 + 12*x^3 + 8*x^2 - 20*x + 8
// rank = 0, torsion = 4
// #points = 2
// f = 5^2*131 = 3275
//======================================================================
// disc = 3285 = 3^2*5*73
//======================================================================
// y^2 = x^6 + 2*x^5 - x^4 - 6*x^3 + x^2 + 8*x - 4
// rank = 1, torsion = 2
//  generator = (x - 1, x^3, 2), height = 0.1022690679
// #points = 6 (not proved)
// f = 3^2*5*73 = 3285
//======================================================================
// disc = -3313 = -3313
//======================================================================
// y^2 = x^6 - 2*x^5 + x^4 - 2*x^3 - 2*x^2 + 4*x + 5
// rank = 0, torsion = 5
// #points = 2
// f = 3313
//======================================================================
// disc = 3317 = 31*107
//======================================================================
// y^2 = x^6 - 2*x^5 - x^4 + 8*x^3 + 3*x^2 - 2*x + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 + 1, 2), 0.0133023717
// #points = 7 (not proved)
// f = 31*107 = 3317
//======================================================================
// disc = 3319 = 3319
//======================================================================
// y^2 = x^6 - 2*x^5 + x^4 - 6*x^3 + 10*x^2 - 4*x + 1
// rank = 2, torsion = 1
//  generator1 = (x - 1, x^3 - 2, 2), height1 = 0.0369275497
//  generator2 = (x^2 - x, -1, 2), height2 = 0.2054169671
// #points = 12 (not proved)
// f = 3319
//======================================================================
// disc = -3391 = -3391
//======================================================================
// y^2 = x^6 + 2*x^5 + x^4 + 2*x^3 - 2*x^2 - 4*x + 1
// rank = 2, torsion = 1
//  generator1 = (1, x^3 + x^2, 2), height1 = 0.0547751170
//  generator2 = (x, -x^3 - 1, 2), height2 = 0.1607750928
// #points = 12 (not proved)
// f = 3391
//----------------------------------------------------------------------
// y^2 = x^6 - 6*x^4 - 6*x^3 + 25*x^2 - 10*x + 1
// rank = 1, torsion = 1
//  generator = (x, x^3 + 1, 2), height = 0.0139725165
// #points = 8 (not proved)
// f = 3391
//======================================================================
// disc = 3423 = 3*7*163
//======================================================================
// y^2 = x^6 + 6*x^3 - 4*x^2 + 4*x + 1
// rank = 1, torsion = 2
//  generator = (1, x^3, 2), height = 0.0991164135
// #points = 4 (not proved)
// f = 3*7*163 = 3423
//======================================================================
// disc = 3429 = 3^3*127
//======================================================================
// y^2 = -4*x^5 + 9*x^4 - 8*x^3 + 2*x^2 + 1
// rank = 1, torsion = 2
//  generator = (x, 1, 1), height = 0.1057234772
// #points = 6 (not proved)
// f = 3^3*127 = 3429
//======================================================================
// disc = -3431 = -47*73
//======================================================================
// y^2 = -4*x^5 - 3*x^4 + 6*x^3 + x^2 - 4*x
// rank = 0, torsion = 4 (2,2)
// #points = 3
// f = 47*73 = 3431
//======================================================================
// disc = -3449 = -3449
//======================================================================
// y^2 = x^6 - 4*x^5 + 10*x^3 - 4*x^2 - 8*x + 1
// rank = 1, torsion = 1
//  generator = (x + 1, x^3 + 1, 2), height = 0.0254711586
// #points = 5 (not proved)
// f = 3449
//======================================================================
// disc = 3469 = 3469
//======================================================================
// y^2 = x^6 + 2*x^5 + x^4 - 6*x^3 - 2*x^2 + 4*x + 1
// rank = 2, torsion = 1
//  generator1 = (x, x^3 - 1, 2), height1 = 0.0207911801
//  generator2 = (x - 1, -x^3, 2), height2 = 0.3752076543
// #points = 14 (not proved)
// f = 3469
//======================================================================
// disc = -3499 = -3499
//======================================================================
// y^2 = x^6 - 4*x^5 + 4*x^4 - 8*x^3 + 20*x^2 - 4*x
// rank = 1, torsion = 1
//  generator = (x^2 - 2*x - 1, x - 2, 2), height = 0.0139426715
// #points = 5 (not proved)
// f = 3499
//======================================================================
// disc = -3513 = -3*1171
//======================================================================
// y^2 = x^6 - 2*x^5 + 7*x^4 - 10*x^3 + 17*x^2 - 12*x + 8
// rank = 1, torsion = 2
//  generator = (1, x^3 - x^2, 2), height = 0.1175256422
// #points = 4 (not proved)
// f = 3*1171 = 3513
//======================================================================
// disc = 3527 = 3527
//======================================================================
// y^2 = x^6 - 2*x^4 - 4*x^3 + x^2 + 8*x + 4
// rank = 1, torsion = 1
//  generator = (x + 1, x^3 + 1, 2), height = 0.0177776536
// #points = 5 (not proved)
// f = 3527
//======================================================================
// disc = 3557 = 3557
//======================================================================
// y^2 = 4*x^5 - 8*x^4 + 4*x^3 + 1
// rank = 1, torsion = 1
//  generator = (x^2 - x, 1, 2), height = 0.0183320205
// #points = 5 (not proved)
// f = 3557
//======================================================================
// disc = -3571 = -3571
//======================================================================
// y^2 = x^6 - 6*x^4 + 2*x^3 + 5*x^2 - 2*x + 1
// rank = 2, torsion = 1
//  generator1 = (x, x^3 + 1, 2), height1 = 0.0631972963
//  generator2 = (1, x^3, 2), height2 = 0.1279356448
// #points = 14 (not proved)
// f = 3571
//======================================================================
// disc = -3601 = -13*277
//======================================================================
// y^2 = x^6 - 2*x^4 + 6*x^3 + 5*x^2 - 2*x + 5
// rank = 0, torsion = 5
// #points = 2
// f = 13*277 = 3601
//======================================================================
// disc = -3629 = -19*191
//======================================================================
// y^2 = x^6 + 2*x^5 - 11*x^4 + 16*x^2 - 4*x
// rank = 1, torsion = 1
//  generator = (x^2 - x - 1, x - 2, 2), height = 0.0157061234
// #points = 7 (not proved)
// f = 19*191 = 3629
//======================================================================
// disc = 3637 = 3637
//======================================================================
// y^2 = x^6 + 4*x^4 + 4*x^2 - 4*x
// rank = 0, torsion = 5
// #points = 3
// f = 3637
//======================================================================
// disc = -3655 = -5*17*43
//======================================================================
// y^2 = x^6 + 2*x^5 + 3*x^4 - 2*x^3 - 7*x^2 + 4*x
// rank = 1, torsion = 2
//  generator = (x, x^3, 2), height = 0.0737335460
// #points = 5 (not proved)
// f = 5*17*43 = 3655
//======================================================================
// disc = 3661 = 7*523
//======================================================================
// y^2 = x^6 + 2*x^4 + 4*x^3 - 3*x^2 + 8*x - 4
// rank = 0, torsion = 4
// #points = 2
// f = 7*523 = 3661
//======================================================================
// disc = 3701 = 3701
//======================================================================
// y^2 = x^6 - 2*x^5 - 3*x^4 + 6*x^3 + 6*x^2 - 8*x - 7
// rank = 1, torsion = 1
//  generator = (1, x^3 - x^2, 2), height = 0.0283629480
// #points = 6 (not proved, but see Flynn-Poonen-Schaefer)
// f = 3701
//----------------------------------------------------------------------
// y^2 = -4*x^5 - 15*x^4 - 20*x^3 - 2*x^2 + 4*x + 1
// rank = 1, torsion = 1
//  generator = (x^2 + 3*x + 1, 5*x + 2, 2), height = 0.0183780321
// #points = 5 (not proved)
// f = 3701
//----------------------------------------------------------------------
// y^2 = x^6 - 2*x^5 + 3*x^4 + 4*x^3 - 5*x^2 + 2*x + 5
// rank = 0, torsion = 5
// #points = 3
// f = 3701
//======================================================================
// disc = 3709 = 3709
//======================================================================
// y^2 = x^6 + 4*x^5 + 2*x^4 - 2*x^3 - 3*x^2 + 2*x + 1
// rank = 1, torsion = 3
//  generator = (x, x^3 + 1, 2), height = 0.2644241120
// #points = 6 (not proved)
// f = 3709
//======================================================================
// disc = -3721 = -61^2
//======================================================================
// y^2 = x^6 - 2*x^4 + 6*x^3 + 13*x^2 + 6*x + 1
// rank = 2, torsion = 1
//  generator1 = (x + 1, x^3 + 2, 2), height1 = 0.0987600405
//  generator2 = (x^2 + x, 2*x + 1, 2), height2 = 0.0987600405
// #points = 12 (not proved)
// f = 61^2 = 3721
//======================================================================
// disc = 3759 = 3*7*179
//======================================================================
// y^2 = x^6 - 2*x^4 + 2*x^3 + x^2 - 6*x - 3
// rank = 1, torsion = 1
//  generator = (1, x^3, 2), height = 0.0279825558
// #points = 4 (not proved)
// f = 3*7*179 = 3759
//======================================================================
// disc = 3775 = 5^2*151
//======================================================================
// y^2 = x^6 - 4*x^5 + 2*x^4 + 10*x^3 - 3*x^2 - 10*x - 3
// rank = 1, torsion = 1
//  generator = (x^2 - x - 1, x, 2), height = 0.0242421001
// #points = 6 (not proved)
// f = 5^2*151 = 3775
//======================================================================
// disc = 3779 = 3779
//======================================================================
// y^2 = x^6 - 4*x^5 + 2*x^4 - 2*x^3 + 17*x^2 - 2*x + 1
// rank = 1, torsion = 1
//  generator = (1, x^3 - 2*x^2, 2), height = 0.0175335579
// #points = 6 (not proved)
// f = 3779
//======================================================================
// disc = -3787 = -7*541
//======================================================================
// y^2 = x^6 - 4*x^4 - 4*x
// rank = 1, torsion = 1
//  generator = (x, x^3, 2), height = 0.0218611021
// #points = 5 (not proved)
// f = 7*541 = 3787
//----------------------------------------------------------------------
// y^2 = x^6 + 6*x^4 + 2*x^3 + 9*x^2 + 2*x + 1
// rank = 1, torsion = 1
//  generator = (1, x^3, 2), height = 0.02667608990
// #points = 4 (not proved)
// f = 7*541 = 3787
//======================================================================
// disc = -3827 = -43*89
//======================================================================
// y^2 = x^6 - 4*x^5 + 4*x^4 + 4*x^3 - 8*x^2 - 4*x
// rank = 1, torsion = 1
//  generator = (x, x^3, 2), height = 0.0249591320
// #points = 5 (not proved)
// f = 43*89 = 3827
//======================================================================
// disc = -3887 = -13^2*23
//======================================================================
// y^2 = x^6 - 6*x^4 + 2*x^3 + 5*x^2 - 2*x + 5
// rank = 0, torsion = 5
// #points = 2
// f = 13^2*23 = 3887
//======================================================================
// disc = 3967 = 3967
//======================================================================
// y^2 = -4*x^5 + 8*x^4 - 16*x^3 + 13*x^2 - 10*x + 1
// rank = 1, torsion = 1
//  generator = (x^2 - x + 1, x - 1, 2), height = 0.0466912421
// #points = 3 (not proved)
// f = 3967
//======================================================================
// disc = 3969 = 3^4*7^2
//======================================================================
// y^2 = x^6 - 6*x^5 + 5*x^4 + 14*x^3 - 6*x^2 - 12*x - 3
// rank = 1, torsion = 1
//  generator = (x^2 - x - 1, x + 1, 2), height = 0.0210401259
// #points = 4 (not proved)
// f = 3^4*7^2 = 3969
//======================================================================
// disc = 3973 = 29*137
//======================================================================
// y^2 = 4*x^5 + 8*x^4 + 16*x^3 + 16*x^2 + 12*x + 5
// rank = 0, torsion = 3
// #points = 1
// f = 29*137 = 3973
//======================================================================
// disc = 3979 = 23*173
//======================================================================
// y^2 = x^6 - 2*x^5 + x^4 - 4*x^3 + 4*x^2 + 4*x
// rank = 1, torsion = 1
//  generator = (x, x^3, 2), height = 0.0200904103
// #points = 5 (not proved)
// f = 23*173 = 3979
//======================================================================
// disc = 3989 = 3989
//======================================================================
// y^2 = x^6 - 4*x^5 + 4*x^4 + 4*x
// rank = 0, torsion = 5
// #points = 3
// f = 3989