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

DOI10.3792/pjaa.63.76zbMath0629.14024OpenAlexW4245130062MaRDI QIDQ1093697

Shoichi Kihara

Publication date: 1987

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.63.76

zbMATH Keywords

elliptic curverank

Mathematics Subject Classification ID

Rational points (14G05) Special algebraic curves and curves of low genus (14H45) Elliptic curves (14H52) Cubic and quartic Diophantine equations (11D25)

Related Items (2)

On the rank of the elliptic curve \(y^ 2=x^ 3+k\). II ⋮ On the Mordell-Weil group of the elliptic curve

Cites Work

• On coprime integral solutions of \(y^ 2=x^ 3+k\)
• The rational solutions of the diophantine equation \(Y^2=X^3-D\)
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