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An elliptic curve over Q(u) with torsion Z/4Z and rank 6

Published 17 Jul 2022 in math.NT | (2207.08206v2)

Abstract: In this note we present the main details of the construction of an elliptic curve over $\mathbb{Q}(u)$ with torsion $\mathbb{Z}/4\mathbb{Z}$ and rank 6. Previously only rank 5 examples for such curves were known.

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