An algorithm for determining the order of an elliptic curve 
over the finite field 
.
Schoof-Elkies-Atkin Algorithm
See also
Elliptic CurveExplore with Wolfram|Alpha
References
Izu, T.; Kogure, J.; Noro, M.; and Yokoyama, K. "Efficient Implementation of Schoof's Algorithm." Advances in Cryptology: ASIACRYPT'98: International Conference on the Theory and Application of Cryptology and Information Security, Beijing, China, October 18-22, 1998 (Ed. K. Ohta and D. Pei). New York: Springer-Verlag, pp. 66-79, 1998.Schoof, R. "Elliptic Curves Over Finite Fields and the Computation of Square Roots mod
." Math. Comput. 44, 483-494, 1985.Schoof,
R. "Counting Points on Elliptic Curves Over Finite Fields." J. Théor.
Nombres Bordeaux 7, 219-264, 1995.Referenced on Wolfram|Alpha
Schoof-Elkies-Atkin AlgorithmCite this as:
Weisstein, Eric W. "Schoof-Elkies-Atkin Algorithm." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Schoof-Elkies-AtkinAlgorithm.html