Trigonal modular curves $X_0^*(N)$
Hasegawa, Yuji ; Shimura, Mahoro
Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, p. 83-86 / Harvested from Project Euclid
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For a positive integer $N$, let $X_0^*(N)$ denote the quotient curve of $X_0(N)$ by the Atkin-Lehmer involutions. In this paper, we determine the trigonality of $X_0^*(N)$ for all $N$. It turns out that there are seven values of $N$ for which $X_0^*(N)$ is a non-trivial trigonal curve.
Publié le : 2000-06-14
Classification:  Modular curve,  trigonal curve,  Atkin-Lehmer involution,  11F11,  11F03,  11G30,  14E20,  14H25 
@article{1148393494,
     author = {Hasegawa, Yuji and Shimura, Mahoro},
     title = {Trigonal modular curves $X\_0^*(N)$},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {76},
     number = {10},
     year = {2000},
     pages = { 83-86},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148393494}
}

Hasegawa, Yuji; Shimura, Mahoro. Trigonal modular curves $X_0^*(N)$. Proc. Japan Acad. Ser. A Math. Sci., Tome 76 (2000) no. 10, pp.  83-86. http://gdmltest.u-ga.fr/item/1148393494/