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

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

2012-03-06

arxiv.org/abs/1203.1187v1

Mathematics

Number Theory

Scientific paper

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

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