Hall, Chris and Perucca, Antonella (2013) On the prime divisors of the number of points on an elliptic curve. COMPTES RENDUS MATHEMATIQUE, 351 (1-2). pp. 1-3. ISSN 1631-073X,
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Let E be an elliptic curve defined over a number field K and let S be a density-one set of primes of K of good reduction for E. Faltings proved in 1983 that the K-isogeny class of E is characterized by the function p bar right arrow #E(k(p)), which maps a prime p is an element of S to the order of the group of points of E over the corresponding field k(p). We show that, in this statement, the integer #E(k(p)) can be replaced by its radical. (c) 2013 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 30 Apr 2020 05:49 |
| Last Modified: | 30 Apr 2020 05:49 |
| URI: | https://pred.uni-regensburg.de/id/eprint/17459 |
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