English

Computing Galois representations and equations for modular curves $X_H(\ell)$

Number Theory 2014-03-19 v2

Abstract

We construct plane models of the modular curve XH()X_H(\ell), and use their explicit equations to compute Galois representations associated to modular forms for values of \ell that are significantly higher than in prior works.

Keywords

Cite

@article{arxiv.1312.6819,
  title  = {Computing Galois representations and equations for modular curves $X_H(\ell)$},
  author = {Maarten Derickx and Mark van Hoeij and Jinxiang Zeng},
  journal= {arXiv preprint arXiv:1312.6819},
  year   = {2014}
}

Comments

17 pages

R2 v1 2026-06-22T02:34:39.401Z