Name
Abstract | ||
|---|---|---|
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. |
Year | DOI | Venue |
|---|---|---|
2003 | 10.1090/S0025-5718-02-01458-8 | Math. Comput. |
Keywords | Field | DocType |
modular curve | Projective representation,Algebraic geometry,Existential quantification,Algebra,Jacobian matrix and determinant,Mathematical analysis,Abelian variety,Pure mathematics,Modular design,Numerical analysis,Mathematics,Morphism | Journal |
Volume | Issue | ISSN |
72 | 241 | Math. Comp. 72, no. 241, 397-418, (2003) |
Citations | PageRank | References |
2 | 0.50 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Enrique González-Jiménez | 1 | 4 | 2.33 |
| Josep González | 2 | 17 | 4.49 |