2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/119152In this short note we introduce the Belyi degree of a number field K, which is the smallest degree of a dessin d'enfant having K as field of moduli. After the description of some general properties (for example, the fact that there exist finitely many number fields of bounded Belyi degree), we give a lower and an upper bound for such an invariant. We finally give some explicit examples for quadratic fields.Number TheoryAlgebraic GeometryOn the Belyi degree of a number fieldtext