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 ε S2(γ1(N)). We determine the corresponding newforms and present equations for all these curves.
|Journal||Mathematics of Computation|
|Publication status||Published - 1 Jan 2003|
- Hyperelliptic modular curves