arXiv subjects

Aurélien Bajolet

Publications and source records attributed to Aurélien Bajolet.

2 recordsLinked to original sources

arXiv2020

Computing integral points on X_ns^+(p)

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.

math.NT↗

arXiv2012

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

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

math.NT↗