English

Infinitely many cubic points on $X_0(N)/\langle w_d\rangle$ with $N$ square-free

Number Theory 2024-06-12 v1

Abstract

We determine all modular curves X0(N)/wdX_0(N)/\langle w_d\rangle that admit infinitely many cubic points over the rational field Q\mathbb{Q}, when NN is square-free.

Keywords

Cite

@article{arxiv.2406.06747,
  title  = {Infinitely many cubic points on $X_0(N)/\langle w_d\rangle$ with $N$ square-free},
  author = {Francesc Bars and Tarun Dalal},
  journal= {arXiv preprint arXiv:2406.06747},
  year   = {2024}
}