Explicit moduli spaces for congruences of elliptic curves

Tom Fisher

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arXiv · 1804.10195

Explicit moduli spaces for congruences of elliptic curves

Tom Fisher

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Abstract

We determine explicit birational models over Q for the modular surfaces parametrising pairs of N-congruent elliptic curves in all cases where this surface is an elliptic surface. In each case we also determine the rank of the Mordell-Weil lattice and the geometric Picard number.

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Tom Fisher. 2018-04-26. Explicit moduli spaces for congruences of elliptic curves. https://arxiv.org/abs/1804.10195

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