dc.contributor.author
Miret, Josep M. (Josep Maria)
dc.contributor.author
Sadornil Renedo, Daniel
dc.contributor.author
Tena Ayuso, Juan
dc.contributor.author
Tomàs Cuñat, Rosa Ana
dc.contributor.author
Valls Marsal, Magda
dc.date.accessioned
2024-12-05T21:45:32Z
dc.date.available
2024-12-05T21:45:32Z
dc.date.issued
2012-01-25T12:29:51Z
dc.date.issued
2012-01-25T12:29:51Z
dc.identifier
https://doi.org/10.5565/PUBLMAT_PJTN05_08
dc.identifier
http://hdl.handle.net/10459.1/44520
dc.identifier.uri
http://hdl.handle.net/10459.1/44520
dc.description.abstract
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.
dc.publisher
Universitat Autònoma de Barcelona. Departament de Matemàtiques
dc.relation
Reproducció del document publicat a https://doi.org/10.5565/PUBLMAT_PJTN05_08
dc.relation
Reproducció del document publicat a http://ddd.uab.cat/record/52?ln=ca
dc.relation
Publicacions matemàtiques, 2007, vol. Extra, p. 165-180
dc.rights
(c) Universitat Autònoma de Barcelona. Departament de Matemàtiques, 2007
dc.rights
info:eu-repo/semantics/openAccess
dc.subject
Elliptic curves
dc.subject
Corbes el·líptiques
dc.subject
Nombres, Teoria algebraica de
dc.title
Volcanoes of l-isogenies of elliptic curves over finite fields: the case l=3
