Mordell’s equation: a classical approach

DOI10.1112/S1461157015000182zbMath1371.11077arXiv1311.7077MaRDI QIDQ3196364

Michael A. Bennett, Amir Ghadermarzi

Publication date: 29 October 2015

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.7077

zbMATH Keywords

elliptic curveThue equationbinary cubic formMordell's equationlinear form in complex logarithms

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Computer solution of Diophantine equations (11Y50) Cubic and quartic Diophantine equations (11D25)

Related Items (10)

On cubic polynomials with a given discriminant ⋮ Squares with Three Nonzero Digits ⋮ Solving 𝑆-unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture ⋮ Integral points on cubic twists of Mordell curves ⋮ Computing Elliptic Curves over $$\mathbb{Q}$$ : Bad Reduction at One Prime ⋮ Computing elliptic curves over $\mathbb {Q}$ ⋮ Diagonalizable quartic Thue equations with negative discriminant ⋮ Sums of two cubes as twisted perfect powers, revisited ⋮ Quartic polynomials with a given discriminant ⋮ On computing integral points of a Mordell curve – the method of Wildanger revisited

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