English

Functions and differentials on the non-split Cartan modular curve of level 11

Number Theory 2014-11-26 v1

Abstract

The genus 44 modular curve Xns(11)X_{ns}(11) attached to a non-split Cartan group of level 1111 admits a model defined over Q\mathbb{Q}. We compute generators for its function field in terms of Siegel modular functions. We also show that its Jacobian is isomorphic over Q\mathbb{Q} to the new part of the Jacobian of the classical modular curve X0(121)X_0(121).

Keywords

Cite

@article{arxiv.1411.6639,
  title  = {Functions and differentials on the non-split Cartan modular curve of level 11},
  author = {Julio Fernández and Josep González},
  journal= {arXiv preprint arXiv:1411.6639},
  year   = {2014}
}