Large Cyclic Subgroups of Jacobians of Hyperelliptic Curves
by Christian Robenhagen Ravnshøj
Preprints
Number 2 (March 2007)
In 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 et al (2005). Examples, where these conditions imply that the Jacobian has a large cyclic subgroup, are given.