On the number of prime divisors of the order of elliptic curves modulo p

DOI10.4064/aa117-4-2zbMath1080.11065OpenAlexW2074818370MaRDI QIDQ5315162

Annegret Weng, Jörn Steuding

Publication date: 7 September 2005

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/aa117-4-2

zbMATH Keywords

group order of elliptic curveslinear sieve with weights

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Applications of sieve methods (11N36)

Related Items (9)

Almost prime values of the order of elliptic curves over finite fields ⋮ On the order of CM abelian varieties over finite prime fields ⋮ Koblitz's conjecture on average for elliptic curves over abelian number fields of square-free conductor ⋮ Remarks on the Fourier coefficients of modular forms ⋮ Non-CM elliptic curves with infinitely many almost prime Frobenius traces ⋮ Divisors of Fourier coefficients of two newforms ⋮ Primes, elliptic curves and cyclic groups ⋮ A REFINEMENT OF KOBLITZ'S CONJECTURE ⋮ Square-free orders for CM elliptic curves modulo \(p\)

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