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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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
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spelling sg-ntu-dr.10356-1072982023-02-28T19:43:15Z A relation between embedding degrees and class numbers of binary quadratic forms Ling, San Ozdemir, Enver Xing, Chaoping School of Physical and Mathematical Sciences DRNTU::Science::Physics::Atomic physics::Quantum theory 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. Accepted version 2015-04-22T04:14:41Z 2019-12-06T22:28:23Z 2015-04-22T04:14:41Z 2019-12-06T22:28:23Z 2014 2014 Journal Article Ling, S., Ozdemir, E., & Xing, C. (2014). A relation between embedding degrees and class numbers of binary quadratic forms. Mathematics of computation, 83(290), 3001-3004. https://hdl.handle.net/10356/107298 http://hdl.handle.net/10220/25439 10.1090/S0025-5718-2014-02831-7 en 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]. 5 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Science::Physics::Atomic physics::Quantum theory
spellingShingle DRNTU::Science::Physics::Atomic physics::Quantum theory
Ling, San
Ozdemir, Enver
Xing, Chaoping
A relation between embedding degrees and class numbers of binary quadratic forms
description 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.
author2 School of Physical and Mathematical Sciences
author_facet School of Physical and Mathematical Sciences
Ling, San
Ozdemir, Enver
Xing, Chaoping
format Article
author Ling, San
Ozdemir, Enver
Xing, Chaoping
author_sort Ling, San
title A relation between embedding degrees and class numbers of binary quadratic forms
title_short A relation between embedding degrees and class numbers of binary quadratic forms
title_full A relation between embedding degrees and class numbers of binary quadratic forms
title_fullStr A relation between embedding degrees and class numbers of binary quadratic forms
title_full_unstemmed A relation between embedding degrees and class numbers of binary quadratic forms
title_sort relation between embedding degrees and class numbers of binary quadratic forms
publishDate 2015
url https://hdl.handle.net/10356/107298
http://hdl.handle.net/10220/25439
_version_ 1759856488613937152

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