The elliptical instability in two unequal counter rotating vortices is studied with numerical simulations for a circulation Reynolds number of ReΓ =3100. The initially Gaussian vortices with equal and opposite circulation but unequal peak vorticity and core size are subjected to random perturbations, and their time evolution in the linear phases is examined.Asymmetry is achieved by simultaneously increasing core radius and lowering peak vorticity on one vortex while keeping the properties on the other vortex fixed between simulations. The effects of this asymmetry on the interaction between the two vortices are then studied, and it is found that deformation is more prominent on the larger vortex with lower peak vorticity for all simulations due to the higher relative strain it experiences. The most unstable non-dimensional wavenumber increases for increasingly asymmetrical cases; the global growth rate of the most unstable mode is higher in the weakly asymmetrical pair than the symmetrical pair and the strongly asymmetrical pair.