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 Some notes on the genus of modular curve $X^0_0(N)$ Commun. Korean Math. Soc. 1997 Vol. 12, No. 1, 17-25 Chang Heon Kim, Ja Kyung Koo KAIST, KAIST Abstract : We estimate the genus $g(N)$ of modular curve $X_0^0(N)$ and show that $g(N)=0$ if and only if $1\le N \le 5$. Keywords : modular curve, genus, elliptic element, cusp element MSC numbers : 11F03, 11F11 Downloads: Full-text PDF