# An effective bound of p for algebraic points on Shimura curves of Γ₀(p)-type

Acta Arithmetica (2014)

- Volume: 164, Issue: 4, page 343-353
- ISSN: 0065-1036

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topKeisuke Arai. "An effective bound of p for algebraic points on Shimura curves of Γ₀(p)-type." Acta Arithmetica 164.4 (2014): 343-353. <http://eudml.org/doc/286212>.

@article{KeisukeArai2014,

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 Γ₀(p)-type for every sufficiently large prime number p. In this article, we obtain an effective bound for such p.},

author = {Keisuke Arai},

journal = {Acta Arithmetica},

keywords = {effective bound; rational points; Shimura curves; QM-abelian surfaces},

language = {eng},

number = {4},

pages = {343-353},

title = {An effective bound of p for algebraic points on Shimura curves of Γ₀(p)-type},

url = {http://eudml.org/doc/286212},

volume = {164},

year = {2014},

}

TY - JOUR

AU - Keisuke Arai

TI - An effective bound of p for algebraic points on Shimura curves of Γ₀(p)-type

JO - Acta Arithmetica

PY - 2014

VL - 164

IS - 4

SP - 343

EP - 353

AB - 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 Γ₀(p)-type for every sufficiently large prime number p. In this article, we obtain an effective bound for such p.

LA - eng

KW - effective bound; rational points; Shimura curves; QM-abelian surfaces

UR - http://eudml.org/doc/286212

ER -

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