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 Galois groups, elliptic curves, Galois representation, isogeny

MSC Classifications:

11R32, 11G05, 12F10, 14K02 show english descriptions Galois theory
Elliptic curves over global fields [See also 14H52]
Separable extensions, Galois theory
Isogeny 11R32 - Galois theory
11G05 - Elliptic curves over global fields [See also 14H52]
12F10 - Separable extensions, Galois theory
14K02 - Isogeny

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