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arXiv · 2207.08206

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

Andrej Dujella·Juan Carlos Peral
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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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Andrej Dujella, Juan Carlos Peral. 2022-07-17. An elliptic curve over Q(u) with torsion Z/4Z and rank 6. https://doi.org/10.21857/y54jof4o2m

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