| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4595110 | Journal of Number Theory | 2008 | 21 Pages |
Abstract
A Q-curve is an elliptic curve E over which is isogenous to all its Galois conjugates. Serre's conjecture implies that Q-curves are modular. This means that E is a -simple factor of J1(N) for some level N. In this paper we will introduce Q-motives which are generalizations of Q-curves and present basic properties of Q-motives. Their properties are proved under some standard conjectures for motives.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
