Showing items related by title, author, creator and subject.

• Isogeny volcanoes of elliptic curves and sylow subgroups 

  Fouquet, Mireille; Miret, Josep M. (Josep Maria); Valera Martín, Javier (Springer International Publishing Switzerland, 2015)

  Given an ordinary elliptic curve over a finite field located in the floor of its volcano of ℓ-isogenies, we present an efficient procedure to take an ascending path from the floor to the level of stability and back to ...

• On the ℓ-adic valuation of the cardinality of elliptic curves over finite extensions of Fq 

  Miret, Josep M. (Josep Maria); Pujolàs Boix, Jordi; Valera Martín, Javier (Springer Verlag, 2015)

  Let E be an elliptic curve defined over a finite field Fq of odd characteristic. Let l≠2 be a prime number different from the characteristic and dividing #E(Fq). We describe how the l-adic valuation of the number of points ...

• Distorting the volcano 

  Fouquet, Mireille; Miret, Josep M. (Josep Maria); Valera Martín, Javier (Elsevier, 2018)

  Volcanoes of ℓ–isogenies of elliptic curves are a special case of graphs with a cycle called crater. In this paper, given an elliptic curve E of a volcano of ℓ–isogenies, we present a condition over an endomorphism ϕ ...