3-torsion and conductor of genus 2 curves
Number Theory
2026-01-13 v2
Abstract
We give an algorithm to compute the conductor for curves of genus 2. It is based on the analysis of 3-torsion of the Jacobian for genus 2 curves over 2-adic fields.
Cite
@article{arxiv.1706.06162,
title = {3-torsion and conductor of genus 2 curves},
author = {Tim Dokchitser and Christopher Doris},
journal= {arXiv preprint arXiv:1706.06162},
year = {2026}
}
Comments
16 pages