On algebraic minimal surfaces in R3 deriving from charge 2 monopole spectral curves

We give formulae for minimal surfaces in R-3 deriving, via classical osculation duality, from elliptic curves in a line bundle over P-1. Specializing to the case of charge 2 monopole spectral curves we find that the distribution of Gaussian curvature on the auxiliary minimal surface reflects the monopole's structure. This is elucidated by the behavior of the surface's Gauss map.