Geodesic
An effective bound of $p$ for algebraic points on Shimura curves of $\varGamma _{0}(p)$-type
Keisuke Arai1
1 Department of Mathematics School of Engineering Tokyo Denki University 5 Senju Asahi-cho Adachi-ku, Tokyo 120-8551, Japan
Acta Arithmetica, Tome 164 (2014) no. 4, pp. 343-353.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $p$.
DOI : 10.4064/aa164-4-2
Keywords: previous articles showed number fields certain large class there elliptic points shimura curve vargamma type every sufficiently large prime number nbsp article obtain effective bound nbsp

Keisuke Arai 1

1 Department of Mathematics School of Engineering Tokyo Denki University 5 Senju Asahi-cho Adachi-ku, Tokyo 120-8551, Japan 
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Keisuke Arai. An effective bound of $p$ for algebraic points on Shimura curves of $\varGamma _{0}(p)$-type. Acta Arithmetica, Tome 164 (2014) no. 4, pp. 343-353. doi : 10.4064/aa164-4-2. http://geodesic.mathdoc.fr/articles/10.4064/aa164-4-2/

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