On conjectural rank parities of quartic and sextic twists of elliptic curves

DOI10.1142/S1793042119501057zbMath1455.11085arXiv1809.04244WikidataQ127906777 ScholiaQ127906777MaRDI QIDQ5236484

Matthew Weidner

Publication date: 8 October 2019

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

Full work available at URL: https://arxiv.org/abs/1809.04244

zbMATH Keywords

elliptic curvesabelian varietiestwistsSelmer ranks

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Uses Software

• PARI/GP
• SageMath

Cites Work

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• Selmer ranks of twists of hyperelliptic curves and superelliptic curves
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• A Markov model for Selmer ranks in families of twists
• Selmer ranks of quadratic twists of elliptic curves with partial rational two-torsion
• Random maximal isotropic subspaces and Selmer groups
• The effect of twisting on the 2-Selmer group
• The Arithmetic of Elliptic Curves
• ON SELMER RANK PARITY OF TWISTS
• Arithmetic on curves of genus 1. VIII. On conjectures of Birch and Swinnerton-Dyer.