A family of elliptic curves of large rank

DOI10.1016/j.jnt.2011.10.003zbMath1264.11047OpenAlexW2040853309MaRDI QIDQ765154

Thomas Occhipinti

Publication date: 19 March 2012

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2011.10.003

zbMATH Keywords

function fieldelliptic curvesMordell-Weil rankzeta functionL-functionconjecture of Birch and Swinnerton-Dyer

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Cites Work

• \(L\)-functions with large analytic rank and abelian varieties with large algebraic rank over function fields
• Towers of surfaces dominated by products of curves and elliptic curves of large rank over function fields
• Elliptic Surfaces
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