The number of points on elliptic curves y2 = x3 + Ax AND y2 = x3 + B3 MOD 24

Wonju Jeon; Daeyeoul Kim

doi:10.4134/CKMS.2013.28.3.433

The number of points on elliptic curves y² = x³ + Ax AND y² = x³ + B³ MOD 24

Wonju Jeon^*
, Daeyeoul Kim

^*Corresponding author for this work

Department of Mathematics

National Institute for Mathematical Sciences

Research output: Contribution to journal › Journal article › peer-review

1 Scopus citations

Abstract

In this paper, we calculate the number of points on elliptic curves y² = x³ + Ax over F_pr modulo 24. This is a generalization of [8], [9] and [16].

Original language	English
Pages (from-to)	433-447
Number of pages	15
Journal	Communications of the Korean Mathematical Society
Volume	28
Issue number	3
DOIs	https://doi.org/10.4134/CKMS.2013.28.3.433
State	Published - 2013

Keywords

Congruence
Elliptic curve

Access to Document

10.4134/CKMS.2013.28.3.433

Cite this

@article{0caa7f12c550474087da099ddd1508a5,

title = "The number of points on elliptic curves y2 = x3 + Ax AND y2 = x3 + B3 MOD 24",

abstract = "In this paper, we calculate the number of points on elliptic curves y2 = x3 + Ax over Fpr modulo 24. This is a generalization of [8], [9] and [16].",

keywords = "Congruence, Elliptic curve",

author = "Wonju Jeon and Daeyeoul Kim",

year = "2013",

doi = "10.4134/CKMS.2013.28.3.433",

language = "English",

volume = "28",

pages = "433--447",

journal = "Communications of the Korean Mathematical Society",

issn = "1225-1763",

number = "3",

}

TY - JOUR

T1 - The number of points on elliptic curves y2 = x3 + Ax AND y2 = x3 + B3 MOD 24

AU - Jeon, Wonju

AU - Kim, Daeyeoul

PY - 2013

Y1 - 2013

N2 - In this paper, we calculate the number of points on elliptic curves y2 = x3 + Ax over Fpr modulo 24. This is a generalization of [8], [9] and [16].

AB - In this paper, we calculate the number of points on elliptic curves y2 = x3 + Ax over Fpr modulo 24. This is a generalization of [8], [9] and [16].

KW - Congruence

KW - Elliptic curve

UR - https://www.scopus.com/pages/publications/84884375572

U2 - 10.4134/CKMS.2013.28.3.433

DO - 10.4134/CKMS.2013.28.3.433

M3 - Journal article

AN - SCOPUS:84884375572

SN - 1225-1763

VL - 28

SP - 433

EP - 447

JO - Communications of the Korean Mathematical Society

JF - Communications of the Korean Mathematical Society

IS - 3

ER -

The number of points on elliptic curves y² = x³ + Ax AND y² = x³ + B³ MOD 24

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this