A database of nonhyperelliptic genus 3 curves over Q

Abstract

We report on the construction of a database of nonhyperelliptic genus 3 curves over Q of small discriminant.

Final version (fixes a few minor typos); 13 pages

References in corpus (3)

• Rigorous computation of the endomorphism ring of a Jacobian
• A database of genus 2 curves over the rational numbers
• Computing L-series of geometrically hyperelliptic curves of genus three

Cited by in corpus (4)

• Sato-Tate groups of abelian threefolds: a preview of the classification
• Conductor and discriminant of Picard curves
• Counting points on smooth plane quartics
• Three-Torsion Subgroups and Wild Conductor Exponents of Plane Quartics