Rad HAZU, Matematičke znanosti, Vol. 28 (2024), 185-192.

AN ELLIPTIC CURVE OVER Q(u) WITH TORSION Z/4Z AND RANK 6

Andrej Dujella and Juan Carlos Peral

Departamento de Matemáticas, Universidad del Pais Vasco, Aptdo. 644, 48080 Bilbao, Spain
e-mail: juancarlos.peral@ehu.es

Abstract.   In this paper, we present the construction of an elliptic curve over Q(u) with torsion group Z/4Z and rank 6. Previously only rank 5 examples for such curves were known.

2020 Mathematics Subject Classification.   11G05.

Key words and phrases.   Elliptic curves, rank, torsion group.

DOI: https://doi.org/10.21857/y54jof4o2m

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