Plane quartic twists of X(5,3)
Number Theory
2007-05-23 v1
Abstract
Given an odd representation of the absolute Galois group of Q onto PGL(2,3) and a positive integer N, there exists a twisted modular curve defined over Q whose rational points classify the quadratic Q-curves of degree N realizing the representation. The paper gives a method to provide an explicit plane quartic model for this curve in the genus-three case N=5.
Cite
@article{arxiv.math/0501520,
title = {Plane quartic twists of X(5,3)},
author = {Julio Fernandez and Josep Gonzalez and Joan-C. Lario},
journal= {arXiv preprint arXiv:math/0501520},
year = {2007}
}
Comments
11 pages, uses xy package