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

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

Yuji Hasegawa and Mahoro Shimura

Source: Proc. Japan Acad. Ser. A Math. Sci. Volume 82, Number 2 (2006), 15-17.

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 $2< |W'| < |W(N)|$.

First Page: Show

Primary Subjects: 11F03, 11F12, 11F11

Secondary Subjects: 11G30, 14H25, 14H50, 11G05

Keywords: Modular curve; modular form; gonality; plane curve

Full-text: Open access

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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pja/1141279058
Mathematical Reviews number (MathSciNet): MR2209765
Digital Object Identifier: doi:10.3792/pjaa.82.15
Zentralblatt MATH identifier: 1115.11031

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