Two kinds of real lines on real del Pezzo surfaces of degree 1

We show how the real lines on a del Pezzo surface of degree 1 can be split into two species, elliptic and hyperbolic, via certain distinguished, intrinsically defined, $${\text {Pin}}^-$$ -structure locus surface. prove that this splitting is invariant under automorphisms deformations surface, difference between total numbers hyperbolic always equal to 16.