Normal Form of the Elliptic Curve Over the Finite Ring

In this work, we will to study the equation of an elliptic curve over the ring An = F2d [E], en = 0.,where d. is a positive integer. More precisely we defined the J-invariant of an elliptic curves over the ring An and we establish re（J） = j, wherej is the j-invariant of an elliptic curve over the field F2d and re is the canonical projection defined over ring An by F2d , see [1].