On the Distribution of Atkin and Elkies Primes
Given an elliptic curve E over a finite field F[subscript q] of q elements, we say that an odd prime ℓ∤q is an Elkies prime for E if t[superscript 2][subscript E]−4q is a square modulo ℓ, where t[subscript E]=q+1−#E(F[subscript q]) and #E(F[subscript q]) is the number of F[subscript q]-rationa...
Main Authors: | , |
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Other Authors: | |
Format: | Article |
Language: | English |
Published: |
Springer US
2016
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Online Access: | http://hdl.handle.net/1721.1/104899 |