Plane Quartic Twists of X(5, 3)
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Published:2007-06-01
Issue:2
Volume:50
Page:196-205
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ISSN:0008-4395
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Container-title:Canadian Mathematical Bulletin
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language:en
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Short-container-title:Can. math. bull.
Author:
Fernández Julio,González Josep,Lario Joan-C.
Abstract
AbstractGiven an odd surjective Galois representation ϱ: Gℚ → PGL2(3) and a positive integer N, there exists a twisted modular curve X(N, 3)ϱ defined over ℚ whose rational points classify the quadratic ℚ-curves of degree N realizing ϱ. This paper gives a method to provide an explicit plane quartic model for this curve in the genus-three case N = 5.
Publisher
Canadian Mathematical Society
Subject
General Mathematics
Cited by
1 articles.
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1. Twists of non-hyperelliptic curves;Revista Matemática Iberoamericana;2017