Modular curves of genus 2
نویسندگان
چکیده
We prove that there are exactly 149 genus two curves C defined over Q such that there exists a nonconstant morphism π : X1(N)→ C defined over Q and the jacobian of C is Q-isogenous to the abelian variety Af attached by Shimura to a newform f ∈ S2(Γ1(N)). We determine the corresponding newforms and present equations for all these curves.
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ورودعنوان ژورنال:
- Math. Comput.
دوره 72 شماره
صفحات -
تاریخ انتشار 2003