%0 Journal Article %T A new bound on the Morse index of constant mean curvature tori of revolution in $\mathbb{S}^3$ %A Antonio Ca£żete %J Mathematics %D 2011 %I arXiv %X In this work we give a new lower bound on the Morse index for constant mean curvature tori of revolution immersed in the three-sphere $\mathbb{S}^3$, by computing some explicit negative eigenvalues for the corresponding Jacobi operator. %U http://arxiv.org/abs/1102.1565v1