Integer solutions to the equation \(y^2=x(x^2\pm p^k)\)

DOI10.1216/RMJ-2008-38-4-1285zbMath1235.11030MaRDI QIDQ1011061

Peter Gareth Walsh

Publication date: 7 April 2009

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

elliptic curvecubic Diophantine equationAnkeny-Artin-Chowla conjecture

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Counting solutions of Diophantine equations (11D45) Cubic and quartic Diophantine equations (11D25)

Related Items

The upper bound estimate of the number of integer points on elliptic curves \(y^2=x^3+p^{2r}x\), An exact upper bound estimate for the number of integer points on the elliptic curves \(y^2= x^3-p^k x\), Maximal ranks and integer points on a family of elliptic curves. II., Integer points and independent points on the elliptic curve \(y^2=x^3-p^kx\), INTEGRAL POINTS ON CONGRUENT NUMBER CURVES

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