A relation between embedding degrees and class numbers of binary quadratic forms
Date of Issue2014
School of Physical and Mathematical Sciences
In this paper, we describe a relation between the em-bedding degree of an elliptic curve over a prime eld Fp and the inertial degree of the primes above p in a certain ring class eld. From this relation, we conclude that the embedding degree divides the class number of a group of binary quadratic forms of a xed discriminant.
DRNTU::Science::Physics::Atomic physics::Quantum theory
Mathematics of computation
© 2014 American Mathematical Society. This is the author created version of a work that has been peer reviewed and accepted for publication by Mathematics of Computation, American Mathematical Society. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [Article DOI: http://dx.doi.org/10.1090/S0025-5718-2014-02831-7].