Computations of the rank of elliptic curve \(y^ 2=x^ 3-n^ 2x\)

DOI10.3792/pjaa.70.154zbMath0820.14040OpenAlexW2046073982MaRDI QIDQ1340361

Mayako Tairo, Hideo Wada

Publication date: 19 December 1994

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.70.154

zbMATH Keywords

rank of elliptic curveorder of the Hasse-Weil function

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Computational aspects of algebraic curves (14Q05) Cubic and quartic Diophantine equations (11D25)

Related Items (4)

On the rank of the elliptic curve \(y^ 2=x^ 3- 2379^ 2x\) ⋮ On the rank of the elliptic curve \(y^ 2= x^ 3- 1513^ 2 x\) ⋮ Integral points in arithmetic progression on \(y^2= x(x^2-n^2)\) ⋮ On certain Diophantine equations of the form \(z^2=f(x)^2\pm g(y)^2\)

Uses Software

• UBASIC
• ecdata

Cites Work

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• Tate-Shafarevich groups and L-functions of elliptic curves with complex multiplication
• On the conjecture of Birch and Swinnerton-Dyer
• All congruent numbers less than 10 000
• Notes on elliptic curves. II.

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