Efficient computation of rank of elliptic curves using hyperelliptic curves associated with the simplest cubic fields

DOI10.3792/pjaa.76.129zbMath0974.11025OpenAlexW2001736335MaRDI QIDQ5928553

Jung Soo Kim

Publication date: 29 March 2001

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.76.129

zbMATH Keywords

hyperelliptic curvesrank of elliptic curvessimplest cubic field

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Cubic and quartic extensions (11R16)

Cites Work

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

This page was built for publication: Efficient computation of rank of elliptic curves using hyperelliptic curves associated with the simplest cubic fields