Group Structure of Elliptic Curves over Finite Fields

Group Structure of Elliptic Curves over Finite Fields

Let A be a finite abelian group such that there is an elliptic curve defined over a finite field Fq with E(Fq)≅A. We will determine the possible group structures E(Fqk) as E varies over all elliptic curves defined over Fq with E(Fq)≅A.

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Veröffentlicht in:Journal of number theory 2001-06, Vol.88 (2), p.335-344
1. Verfasser: Wittmann, Christian
Format: Artikel
Sprache:eng
Schlagworte:
elliptic curves
finite fields
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Zusammenfassung:Let A be a finite abelian group such that there is an elliptic curve defined over a finite field Fq with E(Fq)≅A. We will determine the possible group structures E(Fqk) as E varies over all elliptic curves defined over Fq with E(Fq)≅A.
ISSN:0022-314X
1096-1658
DOI:10.1006/jnth.2000.2622