2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/133256In this paper we give a method for studying global rational points on certain quotients of Shimura curves by Atkin-Lehner involutions. We obtain explicit conditions on such quotients for rational points to be ``trivial'' (coming from CM points only) and exhibit an explicit infinite family of such quotients satisfying these conditions.25 pages. To appear in Mathematische AnnalenNumber Theorytext