2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/72766We give three lower bounds for the Morse index of a constant mean curvature torus in Euclidean 3-space in terms of its spectral genus g. The first two lower bounds grow linearly in g and are stronger for smaller values of g, while the third grows quadratically in g but is weaker for smaller values of g.Differential Geometry53A10text