The number of points on elliptic curves $y^2 =x^3 +Ax$ and $y^2 =x^3 +B^3$ mod 24

Wonju Jeon; Daeyeoul Kim

doi:10.4134/CKMS.2013.28.3.433

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Commun. Korean Math. Soc. 2013; 28(3): 433-447

Printed July 1, 2013

https://doi.org/10.4134/CKMS.2013.28.3.433

The number of points on elliptic curves $y^2 =x^3 +Ax$ and $y^2 =x^3 +B^3$ mod 24

Wonju Jeon and Daeyeoul Kim

National Institute for Mathematical Sciences, National Institute for Mathematical Sciences

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Abstract

In this paper, we calculate the number of points on elliptic curves $y^2 =x^3 +Ax$ over $F_{p^r}$ modulo $24$. This is a generalization of \cite{PDE}, \cite{Soonho} and \cite{SHH}.

Keywords: congruence, elliptic curve

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The number of points on elliptic curves $y^2 =x^3 +Ax$ and $y^2 =x^3 +B^3$ mod 24

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The number of points on elliptic curves $y^2 =x^3 +Ax$ and $y^2 =x^3 +B^3$ mod 24

Abstract

Article Tools

Stats or Metrics

Share this article on :

Related articles in CKMS

Diophantine triple with Fibonacci numbers and elliptic curve

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Communications of the
Korean Mathematical Society CKMS