Bounds for Integral j-Invariants and Cartan Structures on Elliptic Curves
نویسندگان
چکیده
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 the modular curve Xsplit(p ) has no non-trivial rational point if p is a sufficiently large prime number. Assuming the GRH, one can replace p by p. AMS 2000 Mathematics Subject Classification 11G18 (primary), 11G05, 11G16 (secondary).
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