Michael Stoll
Mathematisches Institut
Universität Bayreuth
95440 Bayreuth, Germany

The files in this directory contain data related to the paper

allcurves.magma (120 MB) — allcurves.magma.gz (54 MB)

This file contains equations for all components of the locus of pairs (a, b) (with 0, 1, a, b pairwise distinct) such that the points with x-coordinates a and b are torsion on some Legendre curve.

twolambdas-sizes.magma (48 MB) — twolambdas-sizes.magma.gz (22 MB)

This file contains representatives of all pairs (a, b) found in my computations such that T₅₀(a, b) has exactly two elements.

atleast3-all.magma (47 kB)

This file contains all pairs (a, b) found in my computations such that T₅₀(a, b) has three or more elements.