On the 2-adic valuation of the cardinality of elliptic curves over finite extensions of \(\mathbb{F}_{q}\)

DOI10.1007/s00013-018-1245-2zbMath1437.11085OpenAlexW2890206974MaRDI QIDQ1626636

Javier Valera, Jordi Pujolàs, Josep M. Miret Biosca

Publication date: 21 November 2018

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-018-1245-2

zbMATH Keywords

finite fieldelliptic curve2-adic valuationgroup order2-Sylow subgroup

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Elliptic curves (14H52) Curves over finite and local fields (11G20)

Related Items (1)

The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions. I

Cites Work

• Unnamed Item
• Unnamed Item
• On the \({\ell}\)-adic valuation of the cardinality of elliptic curves over finite extensions of \(\mathbb{F}_{q}\)
• Nonsingular plane cubic curves over finite fields
• An algorithm to compute volcanoes of 2-isogenies of elliptic curves over finite fields
• Computing endomorphism rings of Jacobians of genus 2 curves over finite fields
• A Note on Elliptic Curves Over Finite Fields
• A note on elliptic curves over finite fields
• Elliptic Curves
• Determining the $2$-Sylow subgroup of an elliptic curve over a finite field
• Pairing the volcano
• Handbook of Elliptic and Hyperelliptic Curve Cryptography
• Abelian varieties over finite fields

This page was built for publication: On the 2-adic valuation of the cardinality of elliptic curves over finite extensions of \(\mathbb{F}_{q}\)