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 |
2012-01-25T12:29:51Z |
dc.date |
2012-01-25T12:29:51Z |
dc.date |
2007 |
dc.identifier |
0214-1493 |
dc.identifier |
http://hdl.handle.net/10459.1/44520 |
dc.identifier |
https://doi.org/10.5565/PUBLMAT_PJTN05_08 |
dc.identifier.uri |
http://hdl.handle.net/10459.1/44520 |
dc.description |
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.language |
eng |
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 |
Finite fields |
dc.subject |
Isogenies |
dc.subject |
Volcanoes |
dc.subject |
Corbes el·líptiques |
dc.subject |
Grups finits |
dc.subject |
Nombres, Teoria algebraica de |
dc.title |
Volcanoes of l-isogenies of elliptic curves over finite fields: the case l=3 |
dc.type |
article |
dc.type |
publishedVersion |