Canadian Mathematical Society www.cms.math.ca
 location:  Publications → journals → CMB
Abstract view

# Images of mod $p$ Galois Representations Associated to Elliptic Curves

Published:2001-09-01
Printed: Sep 2001
• Amadeu Reverter
• Núria Vila
Features coming soon:
Citations   (via CrossRef) Tools: Search Google Scholar:
 Format: HTML LaTeX MathJax PDF PostScript

## Abstract

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 $\QQ$ without complex multiplication with conductor less than 200 and for each prime number~$p$.
 Keywords: Galois groups, elliptic curves, Galois representation, isogeny
 MSC Classifications: 11R32 - Galois theory 11G05 - Elliptic curves over global fields [See also 14H52] 12F10 - Separable extensions, Galois theory 14K02 - Isogeny

© Canadian Mathematical Society, 2014 : http://www.cms.math.ca/