Osaka Journal of Mathematics

Defining equations of $X_{0}(2^{2n})$

Fang-Ting Tu and Yifan Yang
Source: Osaka J. Math. Volume 46, Number 1 (2009), 105-113.

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 $X_{0}(2^{2n})$.

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Primary Subjects: 11F03
Secondary Subjects: 11G05, 11G18, 11G30
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.ojm/1235574040
Zentralblatt MATH identifier: 05543712
Mathematical Reviews number (MathSciNet): MR2531142

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