show · ec.q.858.k1.bottom all knowls · up · search:

This curve was used by Everett Howe [MR:3312971] to construct a genus 2 curve over $\mathbb{Q}$ whose Jacobian has a rational 70-torsion point; this is the largest known torsion subgroup for any abelian surface over $\mathbb{Q}$.

Authors:
Knowl status:
  • Review status: beta
  • Last edited by Kiran S. Kedlaya on 2020-09-18 13:56:01
Bottom Knowl for Elliptic curve 858.k1
History: (expand/hide all) Differences (show/hide)