Quadratic twists of elliptic curves associated to the simplest cubic fields

DOI10.3792/PJAA.73.185zbMath0914.11032OpenAlexW2032152178MaRDI QIDQ1387868

Dongho Byeon

Publication date: 21 June 1999

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

Full work available at URL: https://doi.org/10.3792/pjaa.73.185

zbMATH Keywords

simplest cubic fieldelliptic curvegroups of rational points2-rankquadratic twistsideal class group

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Elliptic curves (14H52) Cubic and quartic extensions (11R16) Class numbers, class groups, discriminants (11R29)

Related Items (1)

Non-isotrivial elliptic surfaces with non-zero average root number

Cites Work

• The 2-class groups of cubic fields and 2-descents on elliptic curves
• Class Numbers of the Simplest Cubic Fields

This page was built for publication: Quadratic twists of elliptic curves associated to the simplest cubic fields