FAMILY OF ELLIPTIC CURVES <em>E^{</em>(<em>p</em>,<em>q</em>)}‎: <em>‎y</em>²=<em>x</em>²-<em>p</em><sup>2&

DOI10.22190/FUMI1904805KzbMath1474.11117MaRDI QIDQ3388627

Mehrdad Khazali, Hassan Daghigh

Publication date: 6 May 2021

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

zbMATH Keywords

elliptic curvesabelian groupgroup homomorphism

Mathematics Subject Classification ID

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

Uses Software

• mwrank
• ecdata

Cites Work

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• On the elliptic curves of the form \(y^2=x^3-3px\)
• On elliptic curves \(y^{2} = x^{3}-n^{2}x\) with rank zero
• Elliptic Curves from Mordell to Diophantus and Back
• Integer points on the curve $Y^{2}=X^{3}\pm p^{k}X$
• Practical solution of the Diophantine equation $y^2 = x(x+2^ap^b)(x-2^ap^b)$

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