Generators for the elliptic curve \(y^2=x^3-nx\) of rank at least three

DOI10.1016/j.jnt.2012.10.011zbMath1295.11060OpenAlexW2046685481MaRDI QIDQ1937307

Yasutsugu Fujita

Publication date: 28 February 2013

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2012.10.011

zbMATH Keywords

elliptic curvesrational pointscanonical heights

Mathematics Subject Classification ID

Rational points (14G05) Elliptic curves over global fields (11G05) Heights (11G50)

Related Items (1)

The Mordell-Weil bases for the elliptic curve $y^2=x^3-m^2x+m^2$

Uses Software

• Magma

Cites Work

• Generators for the elliptic curve \(y^2=x^3-nx\)
• Infinite descent on elliptic curves
• Elliptic curves associated with simplest quartic fields
• Computing Heights on Elliptic Curves
• The Square-Free Sieve and the Rank of Elliptic Curves
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