Trigonal quotients of modular curves $X_{0}(N)$

Yuji Hasegawa; Mahoro Shimura

doi:10.3792/pjaa.82.15

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Feb. 2006 Trigonal quotients of modular curves $X_{0}(N)$

Yuji Hasegawa, Mahoro Shimura

Proc. Japan Acad. Ser. A Math. Sci. 82(2): 15-17 (Feb. 2006). DOI: 10.3792/pjaa.82.15

Abstract

Let $W(N)$ be the group of Atkin-Lehner involutions on the modular curve $X_0(N)$. The purpose of this article is to give complementary result to [7, 8, 9]; namely, we determine trigonal curves of the form $X_0(N)/W'$, where $W'$ is a subgroup of $W(N)$ such that $2< |W'| < |W(N)|$.

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Yuji Hasegawa. Mahoro Shimura. "Trigonal quotients of modular curves $X_{0}(N)$." Proc. Japan Acad. Ser. A Math. Sci. 82 (2) 15 - 17, Feb. 2006. https://doi.org/10.3792/pjaa.82.15