On the cyclicity of elliptic curves over finite field extensions

DOI10.1006/ffta.1999.0246zbMath1022.11030OpenAlexW183871989MaRDI QIDQ1808845

S. G. Vleduts

Publication date: 19 May 2003

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/ffta.1999.0246

zbMATH Keywords

supersingular elliptic curvecyclic elliptic curve

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Curves over finite and local fields (11G20)

Related Items

Small exponent point groups on elliptic curves, On the cyclicity of the rational points group of abelian varieties over finite fields, Elliptic curve analogue of Legendre sequences, Pseudo-Randomness of Discrete-Log Sequences from Elliptic Curves, Local cyclicity of isogeny classes of abelian varieties defined over finite fields, Cyclic abelian varieties over finite fields in ordinary isogeny classes, On the linear complexity and multidimensional distribution of congruential generators over elliptic curves

Cites Work

• Nonsingular plane cubic curves over finite fields
• Galois properties of points of finite order of elliptic curves
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