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Zbl 0686.14035
Kenku, M.A.; Momose, Fumiyuki
Automorphism groups of the modular curves $X\sb 0(N)$. (English)
[J] Compos. Math. 65, No.1, 51-80 (1988). ISSN 0010-437X; ISSN 1570-5846/e

The authors determine the automorphism group of the modular curve $X\sb 0(N)$ for which the genus $g\sb 0(N)\ge 2$ and for which $N\ne 37, 63$. They prove that $Aut(X\sb 0(N))=\Gamma\sp*\sb 0(N)/\Gamma\sb 0(N)$ with $\Gamma\sp*\sb 0(N)$ the normalization of $\Gamma\sb 0(N)/\pm 1$ in $PGL\sp+(2,{\bbfQ})$. The group $Aut(X\sb 0(37))$ is known, but the case $N=63$ is still open.
[G.van der Geer]

MSC 2000:: *14H25 Arithmetic ground fields (curves)
11F03 Modular and automorphic functions
14L30 Group actions on varieties or schemes

Keywords: automorphism group of the modular curve

Cited in: Zbl 0708.14016

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