\(S\)-integral points on elliptic curves -- notes on a paper of B. M. M. de Weger.

DOI10.5802/jtnb.332zbMath1065.11014OpenAlexW2319934208MaRDI QIDQ1606167

Emanuel Herrmann, Attila Pethoe

Publication date: 24 July 2002

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_2001__13_2_443_0

zbMATH Keywords

\(q\)-adic elliptic logarithm\(S\)-integral pointelliptic curve linear form in elliptic logarithms

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Cubic and quartic Diophantine equations (11D25) Linear forms in logarithms; Baker's method (11J86)

Related Items (1)

LLL: A Tool for Effective Diophantine Approximation

Uses Software

• Magma
• SIMATH

Cites Work

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• The Magma algebra system. I: The user language
• \(S\)-integral solutions to a Weierstrass equation
• Diophantine approximation of \(p\)-adic elliptic logarithms
• Algorithm for determining the type of a singular fiber in an elliptic pencil
• S-integral points on elliptic curves
• Computing integral points on elliptic curves
• Minorations de formes linéaires de logarithmes elliptiques
• Solving elliptic diophantine equations by estimating linear forms in elliptic logarithms. The case of quartic equations
• Computing all S-integral points on elliptic curves

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