Bounding the $j$ -invariant of integral points on modular curves

preprint2013arXivOpen access

In this paper, we give some effective bounds for the $j$ -invariant of integral points on arbitrary modular curves over arbitrary number fields assuming that the number of cusps is not less than 3.

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Bounding the $j$ -invariant of integral points on modular curves

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Bounding the jjj-invariant of integral points on modular curves

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Bounding the $j$ -invariant of integral points on modular curves