Volcanoes of l-isogenies of elliptic curves over finite fields: the case l=3

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2007
Author
Miret, Josep M. (Josep Maria)
Sadornil Renedo, Daniel
Tena Ayuso, Juan
Tomàs Cuñat, Rosa Ana
Valls Marsal, Magda
Suggested citation
Miret, Josep M. (Josep Maria); Sadornil Renedo, Daniel; Tena Ayuso, Juan; Tomàs Cuñat, Rosa Ana; Valls Marsal, Magda; . (2007) . Volcanoes of l-isogenies of elliptic curves over finite fields: the case l=3. Publicacions matemàtiques, 2007, vol. Extra, p. 165-180. https://doi.org/10.5565/PUBLMAT_PJTN05_08.
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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.
URI
http://hdl.handle.net/10459.1/44520
DOI
https://doi.org/10.5565/PUBLMAT_PJTN05_08
Is part of
Publicacions matemàtiques, 2007, vol. Extra, p. 165-180
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