We study the degeneracy loci of general bundle morphisms defined by m sections of the cotangent bundle twisted by 2. We consider in particular the case of P^5 with m=2,3. We give an explicit description of the Hilbert scheme of elliptic normal scrolls in P^5, by defining a natural rational map from the Grassmannian G (2, 14) , which results to be dominant with general fibre of degree four.
