An effective bound of $p$ for algebraic points on Shimura curves of $\varGamma _{0}(p)$-type
Volume 164 / 2014
Acta Arithmetica 164 (2014), 343-353
MSC: Primary 11G18, 14G05; Secondary 11G10, 11G15.
DOI: 10.4064/aa164-4-2
Abstract
In previous articles, we showed that for number fields in a certain large class, there are at most elliptic points on a Shimura curve of $\varGamma _0(p)$-type for every sufficiently large prime number $p$. In this article, we obtain an effective bound for such $p$.
