On the Clifford algebra of a binary form

The Clifford algebra C-f of a binary form f of degree d is the k-algebra k{x, y}/I, where I is the ideal generated by {(alphax + betay)(d) - f(alpha, beta) \ alpha, beta is an element of k}. C-f has a natural homomorphic image A(f) that is a rank d(2) Azumaya algebra over its center. We prove that the center is isomorphic to the coordinate ring of the complement of an explicit Theta-divisor in Pic(C/k)(d+g-1) where C is the curve (w(d) f(u, v)) and g is the genus of C.