On families of 9-congruent elliptic curves

Published 29 Apr 2015 in math.NT | (1504.07891v1)

Abstract: We compute equations for the families of elliptic curves 9-congruent to a given elliptic curve. We use these to find infinitely many non-trivial pairs of 9-congruent elliptic curves over Q, i.e. pairs of non-isogenous elliptic curves over Q whose 9-torsion subgroups are isomorphic as Galois modules.

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Authors (1)

Tom Fisher

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