Volcanoes of l-isogenies of elliptic curves over finite fields: the case l=3
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2007Suggested 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