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# Wydawnictwa / Czasopisma IMPAN / Acta Arithmetica / Wszystkie zeszyty

## An effective bound of $p$ for algebraic points on Shimura curves of $\varGamma _{0}(p)$-type

### Tom 164 / 2014

Acta Arithmetica 164 (2014), 343-353 MSC: Primary 11G18, 14G05; Secondary 11G10, 11G15. DOI: 10.4064/aa164-4-2

#### Streszczenie

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 $p$.

#### Autorzy

• Keisuke AraiDepartment of Mathematics
School of Engineering
Tokyo Denki University
5 Senju Asahi-cho