Counting points on \(\text{CM}\) elliptic curves

DOI10.1216/rmjm/1181072041zbMath0883.11026OpenAlexW1988208582MaRDI QIDQ1359155

H. M. Stark

Publication date: 8 September 1997

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/vol26-3/contents/contents.htm

zbMATH Keywords

elliptic curvecomplex multiplicationFrobenius automorphism

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Finite ground fields in algebraic geometry (14G15)

Related Items

Congruences involving \({2k\choose k}^2{3k\choose k}\) ⋮ Computing the cardinality of CM elliptic curves using torsion points ⋮ Primes, elliptic curves and cyclic groups ⋮ Choosing the correct elliptic curve in the CM method ⋮ A framework for deterministic primality proving using elliptic curves with complex multiplication ⋮ Some remarks on primality proving and elliptic curves ⋮ The Splitting of Primes in Division Fields of Elliptic Curves ⋮ Point counting on reductions of CM elliptic curves

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