  In this paper we generalize the Skjelbred Sund method, used to classify
nilpotent Lie algebras, in order to classify triple systems with non zero
annihilator. We develop this method with the purpose of classifying nilpotent
Lie triple systems, obtaining from it the algebraic classification of the
nilpotent Lie triple systems up to dimension four. Additionally, we obtain the
geometric classification of the variety of nilpotent Lie triple systems up to
dimension four.
