Ranks of elliptic curves in cyclic sextic extensions of \(\mathbb{Q}\)

DOI10.1016/J.INDAG.2024.01.004MaRDI QIDQ6585096

Hershy Kisilevsky, Masato Kuwata

Publication date: 9 August 2024

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

zbMATH Keywords

elliptic curvesrational points\(\mathrm{K}3\) surfaces

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) (K3) surfaces and Enriques surfaces (14J28) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Cites Work

• Vanishing and non-vanishing Dirichlet twists of L -functions of elliptic curves
• Vanishing of L-functions of elliptic curves over number fields
• On the Vanishing of TwistedL-Functions of Elliptic Curves
• On Ranks of Twists of Elliptic Curves and Power-Free Values of Binary Forms
• Arithmetic Conjectures Suggested by the Statistical Behavior of Modular Symbols
• Vanishing of quartic and sextic twists of \(L\)-functions
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