Work

A quadratic reciprocity law for elliptic curves

Year: 2008

Type: article

Abstract: If E is an elliptic curve, then the Galois group of the extension gener-ated by the n-torsion points acts on these points. We prove a quadratic reciprocity law involving this group action. This law is an extension of the usual quadratic reciprocity law.

Source: NORA - Norwegian Open Research Archives

Author: Hugues Verdure

Institution: UiT The Arctic University of Norway

Language: English

Topic: Advanced Algebra and Geometry

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Japan Society for the Promotion of Science

Award: On security of pairing based elliptic curve cryptosystems in view of number theory

OpenAlex ID: W141888018

FWCI:

Cites: 3

Cited by: 1

Related to: 10