Integral points on a certain family of elliptic curves

Shabnam Akhtari

doi:10.5802/jtnb.905

Integral points on a certain family of elliptic curves

Shabnam Akhtari

Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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 language	English (US)
Pages (from-to)	353-373
Number of pages	21
Journal	Journal de Theorie des Nombres de Bordeaux
Volume	27
Issue number	2
DOIs	https://doi.org/10.5802/jtnb.905
State	Published - Aug 29 2015

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.5802/jtnb.905

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title = "Integral points on a certain family of elliptic curves",

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{\textquoteright}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.",

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Integral points on a certain family of elliptic curves

Abstract

All Science Journal Classification (ASJC) codes

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