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

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

2007-02-14

arxiv.org/abs/math/0702401v1

Mathematics

Number Theory

6 pages

Scientific paper

In this note we 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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