Abstract
AbstractTriangular modular curves are a generalization of modular curves that arise from quotients of the upper half-plane by congruence subgroups of hyperbolic triangle groups. These curves also arise naturally as a source of Belyi maps with monodromy $$\text {PGL}_2(\mathbb {F}_q)$$
PGL
2
(
F
q
)
or $$\text {PSL}_2(\mathbb {F}_q)$$
PSL
2
(
F
q
)
. We present a computational approach to enumerate Borel-type triangular modular curves of low genus, and we carry out this enumeration for prime level and small genus.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory
Cited by
1 articles.
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1. Triangular modular curves of small genus;Research in Number Theory;2022-11-29