Variation of the root number in families of elliptic curves
David E. Rohrlich (1993)
Compositio Mathematica
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Displaying similar documents to “Root numbers of fibers of elliptic surfaces”
Variation of the root number in families of elliptic curves
The splitting of primes in division fields of elliptic curves.
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Lemmermeyer, F., Mollin, R. (2003)
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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...
of elliptic curves with sufficient torsion over
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Eriksson, Nicholas (1999)
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Rational torsion points on elliptic curves over number fields
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Séminaire Bourbaki
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