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Statistics about elliptic curves over finite prime fields |
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| Authors: | Ernst-Ulrich Gekeler |
| Affiliation: | 1.Fachrichtung 6.1 Mathematik,Universit?t des Saarlandes,Saarbrücken,Germany |
| Abstract: | We derive formulas for the probabilities of various properties (cyclicity, squarefreeness, generation by random points) of the point groups of randomly chosen elliptic curves over random prime fields. |
| Keywords: | Mathematics Subject Classification (2000) 11 G 20 11 N 45 |
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