Point counting on reductions of CM elliptic curves

DOI10.1016/j.jnt.2009.01.020zbMath1194.11068arXiv0706.3711OpenAlexW2063227603MaRDI QIDQ1035582

Alice Silverberg, Karl Rubin

Publication date: 4 November 2009

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.3711

zbMATH Keywords

elliptic curvescomplex multiplicationHecke characternumber of points

Mathematics Subject Classification ID

Complex multiplication and moduli of abelian varieties (11G15) Elliptic curves over local fields (11G07)

Related Items (8)

Distribution of root numbers of Hecke characters attached to some elliptic curves ⋮ Congruences involving \({2k\choose k}^2{3k\choose k}\) ⋮ Primes, elliptic curves and cyclic groups ⋮ Amicable Pairs and Aliquot Cycles for Elliptic Curves ⋮ 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 ⋮ Transcendental Brauer groups of products of CM elliptic curves

Uses Software

• ECPP

Cites Work

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