2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217243We prove that there are only finitely many modular curves of $D$-elliptic sheaves over $\mathbb{F}_q(T)$ which are hyperelliptic. In odd characteristic we give a complete classification of such curves.Number TheoryAlgebraic Geometry11G09 (Primary); 11G18 (Secondary)On hyperelliptic modular curves over function fieldstext