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. © 2002 American Mathematical Society.
Original language | English |
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Pages (from-to) | 397-418 |
Journal | Mathematics of Computation |
Volume | 72 |
Issue number | 241 |
DOIs | |
Publication status | Published - 1 Jan 2002 |
Keywords
- Hyperelliptic modular curves