  For an elliptic curve $E$ over a finite field we define the point sequence
$(P_n)$ recursively by $P_n=\vartheta (P_{n-1})=\vartheta ^n(P_0)$ with an
endomorphism $\vartheta \in\mathrm{End}(E)$ and with some initial point $P_0$
on $E$. We study the distribution and the linear complexity of sequences
obtained from $(P_n)$.
