We compute the Fourier coefficients of the weight one modular form $η(z)η(2z)η(3z)/η(6z)$ in terms of the number of representations of an integer as a sum of two squares. We deduce a relation between this modular form and translates of the modular form $η(z)^4/η(2z)^2$. In the last section we use our main result to give an elementary proof of an identity by Victor Kac.

10 pages. Version 2: Section 4 was added