Volcanoes of l-isogenies of elliptic curves over finite fields: the case l=3
| 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 | 2012-01-25T12:29:51Z | |
| dc.date.available | 2012-01-25T12:29:51Z | |
| dc.date.issued | 2007 | |
| dc.identifier.issn | 0214-1493 | |
| 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. | ca_ES |
| dc.language.iso | eng | ca_ES |
| dc.publisher | Universitat Autònoma de Barcelona. Departament de Matemàtiques | |
| dc.relation.isformatof | Reproducció del document publicat a https://doi.org/10.5565/PUBLMAT_PJTN05_08 | ca_ES |
| dc.relation.isformatof | Reproducció del document publicat a http://ddd.uab.cat/record/52?ln=ca | ca_ES |
| dc.relation.ispartof | Publicacions matemàtiques, 2007, vol. Extra, p. 165-180 | ca_ES |
| dc.rights | (c) Universitat Autònoma de Barcelona. Departament de Matemàtiques, 2007 | ca_ES |
| dc.subject | Elliptic curves | ca_ES |
| dc.subject | Finite fields | ca_ES |
| dc.subject | Isogenies | ca_ES |
| dc.subject | Volcanoes | ca_ES |
| dc.subject.other | Corbes el·líptiques | ca_ES |
| dc.subject.other | Grups finits | ca_ES |
| dc.subject.other | Nombres, Teoria algebraica de | ca_ES |
| dc.title | Volcanoes of l-isogenies of elliptic curves over finite fields: the case l=3 | ca_ES |
| dc.type | article | ca_ES |
| dc.identifier.idgrec | 010328 | |
| dc.type.version | publishedVersion | ca_ES |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.identifier.doi | https://doi.org/10.5565/PUBLMAT_PJTN05_08 |
