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

doi: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

Commun. Korean Math. Soc. 2013 Vol. 28, No. 3, 433-447
https://doi.org/10.4134/CKMS.2013.28.3.433
Printed July 1, 2013

Wonju Jeon and Daeyeoul Kim
National Institute for Mathematical Sciences, National Institute for Mathematical Sciences

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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