On Elliptic Diophantine Equations That Defy Thue's Method: The Case of the Ochoa Curve

DOI10.1080/10586458.1994.10504291zbMath0824.11012OpenAlexW1969411016MaRDI QIDQ4836629

Benjamin M. M. de Weger, Roelof J. Stroeker

Publication date: 21 June 1995

Published in: Experimental Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.em/1048515872

zbMATH Keywords

Thue equationslinear forms in elliptic logarithmselliptic curve methodelliptic diophantine equationsOchoa curve

Mathematics Subject Classification ID

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

Related Items (3)

Solving Thue equations without the full unit group ⋮ Unnamed Item ⋮ Solving Elliptic Diophantine Equations Avoiding Thue Equations and Elliptic Logarithms

Uses Software

• PARI/GP
• APECS
• ecdata

Cites Work

• On the practical solution of the Thue equation
• On the application of Skolem's p-adic method to the solution of Thue equations
• How to Solve a Diophantine Equation: A Number-Theoretic Excursion
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• Unnamed Item
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