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

Aurélien Bajolet; Min Sha

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

Number Theory 2012-08-14 v2

Authors: Aurélien Bajolet , Min Sha

Abstract

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 $\GL_2(\Z/p\Z)$ .

Keywords

j-invariant integral points modular curve non-split Cartan subgroup Baker's method explicit bounds

Cite

@article{arxiv.1203.1187,
  title  = {Bounding $j$-invariant of integral points on $X_{\ns}^{+}(p)$},
  author = {Aurélien Bajolet and Min Sha},
  journal= {arXiv preprint arXiv:1203.1187},
  year   = {2012}
}

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