Title
Nonsingular plane cubic curves over finite fields
Abstract
We determine the number of projectively inequivalent nonsingular plane cubic curves over a finite field F q with a fixed number of points defined over F q . We count these curves by counting elliptic curves over F q together with a rational point which is annihilated by 3, up to a certain equivalence relation.
Year
DOI
Venue
1987
10.1016/0097-3165(87)90003-3
J. Comb. Theory, Ser. A
Keywords
Field
DocType
cubic curve,finite field,nonsingular plane
Finite field,Equivalence relation,Combinatorics,Invertible matrix,Rational point,Mathematics,Elliptic curve
Journal
Volume
Issue
ISSN
46
2
Journal of Combinatorial Theory, Series A
Citations 
PageRank 
References 
72
25.41
2
Authors
1
Name
Order
Citations
PageRank
René Schoof111232.70