Bounds for Integral j -Invariants and Cartan Structures on Elliptic Curves
Langue
en
Document de travail - Pré-publication
Résumé en anglais
We bound the j -invariant of integral points on a modular curve in terms of the congruence group de?ning the curve. We apply this to prove that the modular curve Xsplit (p3 ) has no non-trivial rational point if p is a ...Lire la suite >
We bound the j -invariant of integral points on a modular curve in terms of the congruence group de?ning the curve. We apply this to prove that the modular curve Xsplit (p3 ) has no non-trivial rational point if p is a sufficiently large prime number. Assuming the GRH, one can replace p3 by p2 .< Réduire
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