The 2-class groups of cubic fields and 2-descents on elliptic curves

DOI10.2748/tmj/1178227250zbMath0770.11049OpenAlexW2022500759MaRDI QIDQ1802555

Shin-ichi Nakano, Mayumi Kawachi

Publication date: 17 June 1993

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178227250

zbMATH Keywords

elliptic curveexact sequenceideal class groupcubic fieldMordell- Weil group

Mathematics Subject Classification ID

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

Related Items

Non-isotrivial elliptic surfaces with non-zero average root number, Quadratic twists of elliptic curves associated to the simplest cubic fields, Efficient computation of rank of elliptic curves using hyperelliptic curves associated with the simplest cubic fields

Cites Work

• Unnamed Item
• The rank of elliptic curves
• Class numbers of cubic cyclic fields
• A Device for Generating Fields of Even Class Number
• Ideal class groups of cubic cyclic fields
• Class Numbers of the Simplest Cubic Fields
• Arithmetic of Elliptic Curves Upon Quadratic Extension
• The Simplest Cubic Fields