Table of new modular non-hyperelliptic genus-3 curves over Q (smooth plane quartics) with defining equations.

Enrique González-Jiménez

A table of new modular non-hyperelliptic genus-3 curves over Q, i.e. smooth plane quartic models, with labels and defining equations. Entries are organized into three cases by the decomposition of the Jacobian: Q-simple, product of an elliptic curve and a Q-simple abelian surface, and product of three elliptic curves.

References

  • E. González-Jiménez, R. Oyono, Non-hyperelliptic modular curves of genus 3, J. Number Theory 130 (2010), no. 4, 862-878