English

Defining equations of $X_0(2^{2n})$

Number Theory 2007-05-23 v1

Abstract

In this note we obtain defining equations of modular curves X0(22n)X_0(2^{2n}). The key ingredient is a recursive formula for certain generators of the function fields on X0(22n)X_0(2^{2n}).

Cite

@article{arxiv.math/0702401,
  title  = {Defining equations of $X_0(2^{2n})$},
  author = {Fang-Ting Tu and Yifan Yang},
  journal= {arXiv preprint arXiv:math/0702401},
  year   = {2007}
}

Comments

6 pages

R2 v1 2026-07-22T17:51:03.388Z