Abstract
We bound the j-invariant of integral points on a modular curve in terms of the congruence group defining the curve. We apply this to prove that, under the GRH, the modular curve X split ( p 5 ) has no non-trivial rational point if p is a sufficiently large prime number. To cite this article: Yu. Bilu, P. Parent, C. R. Acad. Sci. Paris, Ser. I 346 (2008).
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