On the family of elliptic curves \(y^2=x^3-m^2x+p^2\)

DOI10.1007/s12044-018-0433-0zbMath1448.11104OpenAlexW2898339911MaRDI QIDQ1630244

Shiv Datt Kumar, Abhishek Juyal

Publication date: 7 December 2018

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-018-0433-0

zbMATH Keywords

torsion subgroupelliptic curverank

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05)

Related Items (4)

Unnamed Item ⋮ Unnamed Item ⋮ The Mordell-Weil bases for the elliptic curve $y^2=x^3-m^2x+m^2$ ⋮ On a family of elliptic curves of rank at least 2

Uses Software

• SageMath
• ecdata

Cites Work

• Modular curves and the Eisenstein ideal
• An example of elliptic curve over \(\mathbb{Q}\) with rank \(\geq 20\)
• On the family of elliptic curves $Y^2=X^3-T^2X+1$
• Elliptic Curves from Mordell to Diophantus and Back
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