The distribution of group structures on elliptic curves over finite prime fields

zbMath1130.11054MaRDI QIDQ2369281

Ernst-Ulrich Gekeler

Publication date: 8 May 2006

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53716

zbMATH Keywords

group structurecounting functionselliptic curves over finite fields

Mathematics Subject Classification ID

Asymptotic results on counting functions for algebraic and topological structures (11N45) Curves over finite and local fields (11G20)

Related Items (8)

On Various Families of Twisted Jacobi Quartics ⋮ The distribution of the number of points modulo an integer on elliptic curves over finite fields ⋮ A Titchmarsh divisor problem for elliptic curves ⋮ Constructing elliptic curves over finite fields with prescribed torsion ⋮ Primes, elliptic curves and cyclic groups ⋮ The global Cohen-Lenstra heuristic ⋮ Statistics about elliptic curves over finite prime fields ⋮ Computing Hilbert class polynomials with the Chinese remainder theorem

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