Abstract
In previous works, we proved that under a certain assumption, the set of rational points over a number field on the Shimura curve of \(\varGamma _0(p)\)-type consists of at most elliptic points for every sufficiently large prime number p. In this article, we relax the assumption of the previous result and prove the non-existence of elliptic points under a mild extra assumption.
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Arai, K. Algebraic points on Shimura curves of \(\varGamma _0(p)\)-type (III). Ramanujan J 43, 15–28 (2017). https://doi.org/10.1007/s11139-015-9766-9
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DOI: https://doi.org/10.1007/s11139-015-9766-9