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

DOI10.21136/CMJ.2021.0238-20MaRDI QIDQ5016081

Abhishek Juyal, Sudhansu Sekhar Rout

Publication date: 10 December 2021

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

elliptic curveMordell-Weil groupcanonical height

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Thue-Mahler equations (11D59)

Cites Work

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• On the Mordell-Weil group of the elliptic curve
• Generators for the elliptic curve \(y^2=x^3-nx\)
• On the family of elliptic curves \(y^2=x^3-m^2x+p^2\)
• Infinite descent on elliptic curves
• Generators for the elliptic curve \(y^2=x^3-nx\) of rank at least three
• On the family of elliptic curves $Y^2=X^3-T^2X+1$
• The Arithmetic of Elliptic Curves
• Computing Heights on Elliptic Curves
• Elliptic Curves from Mordell to Diophantus and Back
• The Mordell--Weil bases for the elliptic curve of the form $y^2=x^3-m^2x+n^2$