Explicit moduli spaces for congruences of elliptic curves (1804.10195v1)

Published 26 Apr 2018 in math.NT

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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Authors (1)

Tom Fisher

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