Abstract
In this note we will obtain defining equations of modular curves $X_{0}(2^{2n})$. The key ingredient is a recursive formula for certain generators of the function fields on $X_{0}(2^{2n})$.
Citation
Fang-Ting Tu. Yifan Yang. "Defining equations of $X_{0}(2^{2n})$." Osaka J. Math. 46 (1) 105 - 113, March 2009.
Information
Published: March 2009
First available in Project Euclid: 25 February 2009
zbMATH: 1210.11069
MathSciNet: MR2531142
Subjects:
Primary:
11F03
Secondary:
11G05
,
11G18
,
11G30
Rights: Copyright © 2009 Osaka University and Osaka City University, Departments of Mathematics
