Integral points on a certain family of elliptic curves

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Abstract

The Thue-Siegel method is used to obtain an upper bound for the number of primitive integral solutions to a family of quartic Thue’s inequalities. This will provide an upper bound for the number of integer points on a family of elliptic curves with j-invariant equal to 1728.

Original languageEnglish (US)
Pages (from-to)353-373
Number of pages21
JournalJournal de Theorie des Nombres de Bordeaux
Volume27
Issue number2
DOIs
StatePublished - Aug 29 2015

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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