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Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti, No. 558=28, 2024.

Original scientific paper

https://doi.org/10.21857/y54jof4o2m

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

Andrej Dujella orcid id orcid.org/0000-0001-6867-5811 ; Department of Mathematics, Faculty of Science, University of Zagreb, Bijenička cesta 30, 10000 Zagreb, Croatia
Juan Carlos Peral ; Departamento de Matemáticas, Universidad del Pais Vasco, Aptdo. 644, 48080 Bilbao, Spain

Full text: english pdf 528 Kb

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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.

Keywords

Elliptic curves; rank; torsion group

Hrčak ID:

313630

URI

https://hrcak.srce.hr/313630

Publication date:

24.1.2024.

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