  We present some properties of the Weierstrass $\wp$-function associated to
the hexagonal (or triangular) lattice. In particular, with the help of an old
theorem of I.N. Baker \cite{B} on the characterization of meromorphic solutions
of the equation $X^3 + Y^3 = 1$ we determine the zeros of the function $\wp'(z)
\pm \sqrt{3}$.
