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In the previous article, we classified the characters associated to algebraicpoints on Shimura curves of $\Gamma_0(p)$-type, and over a quadratic field weshowed that there are at most elliptic points on such a Shimura curve for everysufficiently large prime number $p$. In this article, we get a similar resultfor points over number fields of higher degree on Shimura curves of$\Gamma_0(p)$-type.

Algebraic points on Shimura curves of $\Gamma_0(p)$-type (II)