Algebraic points on Shimura curves of Γ0(p)-type (II)

In a previous article, we proved that for a quadratic field, there are at most elliptic points on a Shimura curve of Γ 0 ( p )-type for every sufficiently large prime number p . This is an analogue of the study of rational points on the modular curve X 0 ( p ) by Mazur and Momose. In this article, we expand the previous result for Shimura curves to the case of number fields of higher degree, which seems unknown for X 0 ( p ).