Images of mod p Galois Representations Associated to Elliptic Curves
Canadian mathematical bulletin, Tome 44 (2001) no. 3, pp. 313-322
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We give an explicit recipe for the determination of the images associated to the Galois action on $p$ -torsion points of elliptic curves. We present a table listing the image for all the elliptic curves defined over $\mathbb{Q}$ without complex multiplication with conductor less than 200 and for each prime number $p$ .
Mots-clés :
11R32, 11G05, 12F10, 14K02, Galois groups, elliptic curves, Galois representation, isogeny
Reverter, Amadeu; Vila, Núria. Images of mod p Galois Representations Associated to Elliptic Curves. Canadian mathematical bulletin, Tome 44 (2001) no. 3, pp. 313-322. doi: 10.4153/CMB-2001-031-1
@article{10_4153_CMB_2001_031_1,
author = {Reverter, Amadeu and Vila, N\'uria},
title = {Images of mod p {Galois} {Representations} {Associated} to {Elliptic} {Curves}},
journal = {Canadian mathematical bulletin},
pages = {313--322},
year = {2001},
volume = {44},
number = {3},
doi = {10.4153/CMB-2001-031-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-031-1/}
}
TY - JOUR AU - Reverter, Amadeu AU - Vila, Núria TI - Images of mod p Galois Representations Associated to Elliptic Curves JO - Canadian mathematical bulletin PY - 2001 SP - 313 EP - 322 VL - 44 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-031-1/ DO - 10.4153/CMB-2001-031-1 ID - 10_4153_CMB_2001_031_1 ER -
%0 Journal Article %A Reverter, Amadeu %A Vila, Núria %T Images of mod p Galois Representations Associated to Elliptic Curves %J Canadian mathematical bulletin %D 2001 %P 313-322 %V 44 %N 3 %U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2001-031-1/ %R 10.4153/CMB-2001-031-1 %F 10_4153_CMB_2001_031_1
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