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A note on the trace of Frobenius for curves of the form y² = x³ + dx.

Authors :
Walsh, P. G.
Source :
Annales Mathematicae et Informaticae. 2022, Vol. 55, p184-188. 5p.
Publication Year :
2022

Abstract

An explicit description of the trace of Frobenius is given for any elliptic curve over Q of the form y² = x³ + dx. This description leads to an algorithm which computes the trace at a cost of one modular exponentiation. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*ELLIPTIC curves
*EXPONENTIATION

Details

Language :
English
ISSN :
17875021
Volume :
55
Database :
Academic Search Index
Journal :
Annales Mathematicae et Informaticae
Publication Type :
Academic Journal
Accession number :
161710488
Full Text :
https://doi.org/10.33039/ami.2022.11.003