Elliptic curves with bounded ranks in function field towers
Lisa Berger (2012)
Acta Arithmetica
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Displaying similar documents to “Distribution of Mordell-Weil ranks of families of elliptic curves”
Elliptic curves with bounded ranks in function field towers
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Acta Arithmetica
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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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Acta Arithmetica
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