Computing the height of volcanoes of \(\ell \)-isogenies of elliptic curves over finite fields

DOI10.1016/j.amc.2007.05.037zbMath1138.14035OpenAlexW2091434244MaRDI QIDQ2474858

Magda Valls, Josep M. Miret Biosca, Daniel Sadornil, Ramiro Moreno, Juan G. Tena Ayuso

Publication date: 6 March 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.05.037

zbMATH Keywords

elliptic curvesfinite fieldsisogeniesvolcanoes

Mathematics Subject Classification ID

Curves over finite and local fields (11G20)

Related Items

Distorting the volcano ⋮ Computing isogeny volcanoes of composite degree ⋮ Pairing the volcano ⋮ On Avoiding ZVP-Attacks Using Isogeny Volcanoes ⋮ Computing Hilbert class polynomials with the Chinese remainder theorem

Uses Software

• Magma

Cites Work

• Volcanoes of \(\ell\)-isogenies of elliptic curves over finite fields: the case \(\ell=3^*\)
• Corps euclidiens, unites exceptionnelles et courbes elliptiques
• Counting points on elliptic curves over finite fields
• An algorithm to compute volcanoes of 2-isogenies of elliptic curves over finite fields
• Determining the $2$-Sylow subgroup of an elliptic curve over a finite field
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item