Computing integral points on X_ns^+(p)

Abstract

We describe an algorithm for computing integral points on the modular curve of prime level p associated to the normalizer of a non-split Cartan subgroup of GL_2(F_p). Using our method, we show that for 7<p<101 the only integral points on this curve are the CM-points.

To appear in Algebra and Number Theory

References in corpus (4)

• A Modular Curve of Level 9 and the Class Number One Problem
• Solving S-unit, Mordell, Thue, Thue-Mahler and generalized Ramanujan-Nagell equations via Shimura-Taniyama conjecture
• Effective Siegel's theorem for modular curves
• An explicit bound for integral points on modular curves

Cited by in corpus (1)

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