On Birch and Swinnerton-Dyer's conjecture for elliptic curves with complex multiplication. I
Nicole Arthaud (1978)
Compositio Mathematica
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Displaying similar documents to “The splitting of primes in division fields of elliptic curves.”
On Birch and Swinnerton-Dyer's conjecture for elliptic curves with complex multiplication. I
Variation of the root number in families of elliptic curves
David E. Rohrlich (1993)
Compositio Mathematica
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Counting points on elliptic curves over finite fields
René Schoof (1995)
Journal de théorie des nombres de Bordeaux
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We describe three algorithms to count the number of points on an elliptic curve over a finite field. The first one is very practical when the finite field is not too large ; it is based on Shanks's baby-step-giant-step strategy. The second algorithm is very efficient when the endomorphism ring of the curve is known. It exploits the natural lattice structure of this ring. The third algorithm is based on calculations with the torsion points of the elliptic curve [18]. This deterministic...
Elliptic curves and special values of L-series.
Massimo Bertolini (1997)
Collectanea Mathematica
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Rational torsion points on elliptic curves over number fields
Bas Edixhoven (1993-1994)
Séminaire Bourbaki
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-series, elliptic curves, and odd values of the partition function.
Eriksson, Nicholas (1999)
International Journal of Mathematics and Mathematical Sciences
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Elliptic curves and class fields of real quadratic fields: Algorithms and evidence.
Darmon, Henri, Green, Peter (2002)
Experimental Mathematics
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From the Taniyama-Shimura conjecture to Fermat's last theorem
Kenneth A. Ribet (1990)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Torsion points on elliptic curves over all quadratic fields. II
Sheldon Kamienny (1986)
Bulletin de la Société Mathématique de France
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