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

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

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...

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Bibliographic Details
Main Authors: Ling, San, Ozdemir, Enver, Xing, Chaoping
Other Authors: School of Physical and Mathematical Sciences
Format: Article
Language:English
Published: 2015
Subjects:
DRNTU::Science::Physics::Atomic physics::Quantum theory
Online Access:https://hdl.handle.net/10356/107298
http://hdl.handle.net/10220/25439
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Institution: Nanyang Technological University
Language: English
Description
Summary: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.

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