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Images of mod p Galois Representations Associated to Elliptic Curves

Published online by Cambridge University Press:  20 November 2018

Amadeu Reverter  and
Núria Vila
Amadeu Reverter
Affiliation:
Departament de Matemàtiques I.E.S. Bellvitge Avda Amèrica, 99 E-08907 L’Hospitalet de Llobregat Spain, e-mail: areverte@pie.xtec.es
Núria Vila
Affiliation:
Departament d’ Àlgebra i Geometria Facultat de Matemàtiques Universitat de Barcelona Gran Via de les Corts Catalanes, 585 E-08007 Barcelona Spain, e-mail: vila@cerber.mat.ub.es
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Abstract

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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 $p$.

Keywords

11R3211G0512F1014K02Galois groupselliptic curvesGalois representationisogeny
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 44 , Issue 3 , 01 September 2001 , pp. 313 - 322
Copyright
Copyright © Canadian Mathematical Society 2001

References

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