2 8 Ja n 20 05 Plane quartic twists of X ( 5 , 3 ) Julio
نویسندگان
چکیده
Given an odd surjective Galois representation ̺ : GQ → PGL2(F3) and a positive integer N, there exists a twisted modular curve X(N, 3)̺ defined over Q whose rational points classify the quadratic Q-curves of degree N realizing ̺. The paper gives a method to provide an explicit plane quartic model for this curve in the genus-three case N= 5.
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