  In this paper we construct an example of a complete immersed minimal surface
in $\mathbb{R}^3$ of genus one with two embedded catenoid-type ends, one
Enneper-type end and total Gauss curvature $-16\pi.$ The proof of the existence
of this example, was obtained using the Weierstrass representation, the theory
of elliptic functions and explicitly solving the period problem.
