Bounding jj-invariant of integral points on $X_{\ns}^{+}(p)$

preprint2012arXivOpen access

Abstract

For prime p≥7p\ge 7, by using Baker's method we obtain two explicit bounds in terms of pp for the jj-invariant of an integral point on $X_{\ns}^{+}(p)$ which is the modular curve of level pp corresponding to the normalizer of a non-split Cartan subgroup of $\GL_2(\Z/p\Z)$.

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