Reductions of an elliptic curve with almost prime orders

DOI10.4064/aa119-3-3zbMath1107.11036OpenAlexW2006673603MaRDI QIDQ5315196

Alina Carmen Cojocaru

Publication date: 7 September 2005

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

Full work available at URL: https://doi.org/10.4064/aa119-3-3

zbMATH Keywords

complex multiplicationsieve methodsKoblitz conjectureelliptic curves over \(\mathbb{Q}\)

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Elliptic curves (14H52) Applications of sieve methods (11N36) Density theorems (11R45) Primes in congruence classes (11N13) Distribution of primes (11N05)

Related Items (13)

Almost prime values of the order of elliptic curves over finite fields ⋮ REDUCTION modp OF SUBGROUPS OF THE MORDELL–WEIL GROUP OF AN ELLIPTIC CURVE ⋮ Koblitz's conjecture on average for elliptic curves over abelian number fields of square-free conductor ⋮ Remarks on the Fourier coefficients of modular forms ⋮ Orders of reductions of elliptic curves with many and few prime factors ⋮ Non-CM elliptic curves with infinitely many almost prime Frobenius traces ⋮ A Titchmarsh divisor problem for elliptic curves ⋮ Primes, elliptic curves and cyclic groups ⋮ A REFINEMENT OF KOBLITZ'S CONJECTURE ⋮ Square-free orders for CM elliptic curves modulo \(p\) ⋮ Amicable Pairs and Aliquot Cycles for Elliptic Curves ⋮ Splitting of abelian varieties ⋮ Pseudoprime reductions of elliptic curves

This page was built for publication: Reductions of an elliptic curve with almost prime orders