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On a theorem of Mestre and Schoof
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Cremona, J. E. and Sutherland, Andrew V. (2010) On a theorem of Mestre and Schoof. Journal de Théorie des Nombres de Bordeaux, Vol.22 (No.2). pp. 353-358. doi:10.5802/jtnb.719 ISSN 1246-7405.
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Official URL: http://dx.doi.org/10.5802/jtnb.719
Abstract
A well-known theorem of Mestre and Schoof implies that the cardinality of an elliptic curve $ E $ defined over a prime field $ \ mathbb {F} _q $ can be determined uniquely by calculating the orders of a few points on $ E $ and its twisted quadratic, provided that q $> $ 229. We extend this result to all finite fields with q $> $ 49, and every body first with $ q> $ 29.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics | ||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
| Journal or Publication Title: | Journal de Théorie des Nombres de Bordeaux | ||||
| Publisher: | Universite de Bordeaux I, Centre de Recherces en Mathematiques | ||||
| ISSN: | 1246-7405 | ||||
| Official Date: | 2010 | ||||
| Dates: |
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| Volume: | Vol.22 | ||||
| Number: | No.2 | ||||
| Page Range: | pp. 353-358 | ||||
| DOI: | 10.5802/jtnb.719 | ||||
| Status: | Peer Reviewed | ||||
| Publication Status: | Published | ||||
| Access rights to Published version: | Restricted or Subscription Access |
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