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Title:
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Volcanoes of l-isogenies of elliptic curves over finite fields: the case l=3
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Author:
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Miret, Josep M. (Josep Maria); Sadornil Renedo, Daniel; Tena Ayuso, Juan; Tomàs Cuñat, Rosa Ana; Valls Marsal, Magda
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Notes:
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This paper is devoted to the study of the volcanoes of l-isogenies
of elliptic curves over a finite field, focusing on their height as well
as on the location of curves across its different levels. The core of
the paper lies on the relationship between the l-Sylow subgroup
of an elliptic curve and the level of the volcano where it is placed.
The particular case l = 3 is studied in detail, giving an algorithm
to determine the volcano of 3-isogenies of a given elliptic curve.
Experimental results are also provided. |
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Subject(s):
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-Elliptic curves
-Finite fields
-Isogenies
-Volcanoes
-Corbes el·líptiques
-Grups finits
-Nombres, Teoria algebraica de |
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Rights:
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(c) Universitat Autònoma de Barcelona. Departament de Matemàtiques, 2007
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Document type:
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article
publishedVersion |
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Published by:
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Universitat Autònoma de Barcelona. Departament de Matemàtiques
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