Nonsingular plane cubic curves over finite fields |
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Institution: | Mathematical Sciences Research Institute, 1000 Centennial Drive, Berkeley, California 94720 USA |
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Abstract: | We determine the number of projectively inequivalent nonsingular plane cubic curves over a finite field Fq with a fixed number of points defined over Fq. We count these curves by counting elliptic curves over Fq together with a rational point which is annihilated by 3, up to a certain equivalence relation. |
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