On the rank of the elliptic curve \(y^ 2=x^ 3+k\). II

DOI10.3792/PJAA.72.228zbMath0877.11036OpenAlexW4234851232MaRDI QIDQ1357047

Shoichi Kihara

Publication date: 2 December 1997

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.72.228

zbMATH Keywords

elliptic curverankMordell curve

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52)

Related Items (4)

On an infinite family of elliptic curves with rank \(\geq 14\) over \(\mathbb{Q}\) ⋮ A sextic diophantine chain and a related Mordell curve ⋮ On the rank of elliptic curves with three rational points of order 2. II ⋮ On the Mordell-Weil group of the elliptic curve

Cites Work

• Unnamed Item
• On the rank of the elliptic curve \(y^ 2=x^ 3+k\)
• On coprime integral solutions of \(y^ 2=x^ 3+k\)

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