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      A relation between embedding degrees and class numbers of binary quadratic forms

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      A relation between embedding degrees and class numbers of binary quadratic forms.pdf (247.9Kb)
      Author
      Ling, San
      Ozdemir, Enver
      Xing, Chaoping
      Date of Issue
      2014
      School
      School of Physical and Mathematical Sciences
      Version
      Accepted version
      Abstract
      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.
      Subject
      DRNTU::Science::Physics::Atomic physics::Quantum theory
      Type
      Journal Article
      Series/Journal Title
      Mathematics of computation
      Rights
      © 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].
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      http://dx.doi.org/10.1090/S0025-5718-2014-02831-7
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