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On the probability of having rational \ell-isogenies |
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| Authors: | Jeffrey D Achter Daniel Sadornil |
| Institution: | 1. Department of Mathematics, Colorado State University, Fort Collins, CO, 80523, USA 2. Dpto. Matemáticas, Plaza de la Merced 1, 37008, Salamanca, Espa?a |
| Abstract: | We calculate the chance that an elliptic curve over a finite field has a specified number of  -isogenies which emanate from it. We give a partial answer for abelian varieties of arbitrary dimension.
Received: 20 September 2007 |
| Keywords: | Mathematics Subject Classification (2000)" target="_blank">Mathematics Subject Classification (2000) 11G20 14K02 |
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