  For any elliptic normal surface singularity with rational homology sphere
link we consider a new elliptic sequence, which differs from the one introduced
by Laufer and S. S.-T. Yau. However, we show that their length coincide. Using
the properties of both sequences we succeed to connect the common length with
the geometric genus and also with several topological invariants, e.g. with the
Seiberg--Witten invariant of the link.
