2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/131406In this paper we obtain conditions on the divisors of the group order of the Jacobian of a hyperelliptic genus 2 curve, generated by the complex multiplication method described by Weng (2003) and Gaudry (2005). Examples, where these conditions imply that the Jacobian has a large cyclic subgroup, are given.8 pages, 1 figureNumber TheoryAlgebraic Geometry14H40 (Primary) 11G15,14Q05, 94A60 (Secondary)text