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arxiv: 1504.00710 · v2 · pith:B3SFX7WMnew · submitted 2015-04-02 · 🧮 math.NT

Integral points on a certain family of elliptic curves

classification 🧮 math.NT
keywords familyboundcurvesellipticintegralnumberpointsupper
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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.

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