We give the complete list of possible torsion subgroups of elliptic curves
with complex multiplication over number fields of degree 1-13. Additionally we
describe the algorithm used to compute these torsion subgroups and its
We give a correspondence which associates, to any Del Pezzo surface X of
degree 6 over a field k of characteristic 0, a collection of data consisting of
a Severi-Brauer variety/k and a set of points defined over some extension of k.