English

Hyperelliptic parametrizations of $\mathbb{Q}$-curves

Number Theory 2019-10-24 v1

Abstract

For a square-free integer NN, we present a procedure to compute Q\mathbb{Q}-curves parametrized by rational points of the modular curve X0(N)X_0^*(N) when this is hyperelliptic.

Keywords

Cite

@article{arxiv.1910.10545,
  title  = {Hyperelliptic parametrizations of $\mathbb{Q}$-curves},
  author = {Francesc Bars and Josep González and Xavier Xarles},
  journal= {arXiv preprint arXiv:1910.10545},
  year   = {2019}
}
R2 v1 2026-06-23T11:52:34.568Z