Galois representations attached to the product of two elliptic curves

Citation
A. Reverter et N. Vila, Galois representations attached to the product of two elliptic curves, R MT J MATH, 30(3), 2000, pp. 1121-1127
Citations number
4
Categorie Soggetti
Mathematics
Journal title
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
ISSN journal
00357596 → ACNP
Volume
30
Issue
3
Year of publication
2000
Pages
1121 - 1127
Database
ISI
SICI code
0035-7596(200023)30:3<1121:GRATTP>2.0.ZU;2-Y
Abstract
We study the images of mod p Galois representations attached to the abelian variety product of two elliptic curves. The case of two nonisogenous ellip tic curves without complex multiplication has been considered by Serre [3]. In this paper we examine the case of two isogenous elliptic curves.