Elliptic curves with all quartic twists of the same root number

DOI10.3792/pjaa.97.014zbMath1487.11055MaRDI QIDQ2075293

Dongho Byeon, Gyeoul Han

Publication date: 14 February 2022

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

zbMATH Keywords

elliptic curveroot numberquartic twist

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves over local fields (11G07)

Cites Work

• The \(p\)-parity conjecture for elliptic curves with a \(p\)-isogeny
• Density of rational points on isotrivial rational elliptic surfaces
• The local root number of elliptic curves with wild ramification
• Root number of twists of an elliptic curve
• Elliptic curves with all cubic twists of the same root number
• Root numbers of elliptic curves in residue characteristic 2
• Elliptic curves with all quadratic twists of positive rank
• The Arithmetic of Elliptic Curves

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