THE ELLIPTIC CURVE E

Chillali, S Abdelalim
2015 Gulf Journal of Mathematics   unpublished
In this paper, we study the elliptic curve E a,b over ring F p [e 1 , e 2 , e 3 ], where e i e i = e i and e i e j = 0 if i = j. We characterize the invertible elements of F p [e 1 , e 2 , e 3 ], and we determine the relation between E a,b (F p [e 1 , e 2 , e 3 ]) and E a,b (F p). Finally we show that Card(E a,b (F p [e 1 , e 2 , e 3 ])) ≥ (Card(E a,b (F p)) − 3) 3 + Card(E a,b (F p)).
fatcat:wyh4mpeifnexpf2mqe7es33wea