The integral points on elliptic curves y 2 = x 3 + (36n 2 − 9)x − 2(36n 2 − 5)

DOI10.1007/s10587-013-0023-3zbMath1289.11034OpenAlexW2061350336MaRDI QIDQ2864413

Hai Yang, Ruiqin Fu

Publication date: 6 December 2013

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

Full work available at URL: https://doi.org/10.1007/s10587-013-0023-3

zbMATH Keywords

elliptic curvecubic Diophantine equationintegral point

Mathematics Subject Classification ID

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

Related Items (2)

Integral points on elliptic curves $y^{2}=x(x-2^{m}) (x+p)$ ⋮ Integral points on the elliptic curve \(E_{ pq }\): \(y^2 = x^3 + ( pq - 12) x - 2( pq - 8)\)

Cites Work

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• A note on a theorem of Ljunggren and the diophantine equations \(x^2-kxy^2+y^4=1,4\)
• An elliptic curve having large integral points
• Solving a family of Thue equations with an application to the equation x²-Dy⁴=1
• Large Integral Points on Elliptic Curves
• Computing all integer solutions of a genus 1 equation
• On the Elliptic Logarithm Method for Elliptic Diophantine Equations: Reflections and an Improvement
• On the Diophantine Equation mX 2 - nY 2 = ± 1
• The Diophantine Equation y ² = ax ³ +bx ² +cx +d

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