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...

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Bibliographic Details
Main Authors: Shparlinski, Igor E., Sutherland II, Andrew Victor
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer US 2016
Online Access:http://hdl.handle.net/1721.1/104899