The Weierstrass $\mathrm{\wp }$-function of the hexagonal lattice

We present some properties of the Weierstrass $\mathrm{\wp }$-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 $\wp’(z) \pm \sqrt{3}$.