Elliptic curves with surjective adelic Galois representations
Number Theory
2010-03-16 v3 Group Theory
Abstract
We prove useful necessary and sufficient conditions for an elliptic curve over a number field to admit a surjective adelic Galois representation. Using these conditions, we compute an example of a number field K and an elliptic curve E/K whose corresponding adelic representation is surjective.
Cite
@article{arxiv.0901.2513,
title = {Elliptic curves with surjective adelic Galois representations},
author = {Aaron Greicius},
journal= {arXiv preprint arXiv:0901.2513},
year = {2010}
}
Comments
Mildly revised version, accepted for publication by Experimental Mathematics.