Integer points and independent points on the elliptic curve \(y^2=x^3-p^kx\)

DOI10.3836/tjm/1327931392zbMath1253.11043OpenAlexW2024535961MaRDI QIDQ764002

Nobuhiro Terai, Yasutsugu Fujita

Publication date: 3 April 2012

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3836/tjm/1327931392

zbMATH Keywords

elliptic curvesgeneratorsinteger pointsindependent points

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Cubic and quartic Diophantine equations (11D25)

Related Items (6)

An exact upper bound estimate for the number of integer points on the elliptic curves \(y^2= x^3-p^k x\) ⋮ Elliptic Curves of Type y2=x3−3pqx Having Ranks Zero and One ⋮ Generators for the elliptic curve \(y^2=x^3-nx\) ⋮ Integral points on the elliptic curve $y^2=x^3-4p^2x$ ⋮ COMPARISON OF RANKS IN SOME ELLIPTIC CURVES ⋮ INTEGRAL POINTS ON CONGRUENT NUMBER CURVES

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