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

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.

7 pages, to appear in Rad Hrvat. Akad. Znan. Umjet. Mat. Znan. 28 (2024)

References in corpus (1)

• Three lectures on elliptic surfaces and curves of high rank