Edge magnons play a key role in the magnetization reversal of ferromagnetic nanoelements and may find applications in the field of magnonics. The authors tune the parametric excitation of edge magnons in ferromagnetic nanowires by spin Hall torque in order to probe the magnon ellipticity. The study reveals that the edge magnon ellipticity is significantly lower than that predicted by a simple model of the magnetic edge. This work presents a sensitive probe of magnetic properties at nanoelement edges.