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Discriminants of Complex Multiplication Fields of Elliptic Curves over Finite Fields

  • Autores: Florian Luca, Igor E. Shparlinski
  • Localización: Canadian mathematical bulletin, ISSN 0008-4395, Vol. 50, Nº 3, 2007, págs. 409-417
  • Idioma: inglés
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • We show that, for most of the elliptic curves E over a prime finite field Fp of p elements, the discriminant D(E) of the quadratic number field containing the endomorphism ring of E over Fp is sufficiently large. We also obtain an asymptotic formula for the number of distinct quadratic number fields generated by the endomorphism rings of all elliptic curves over Fp.


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