  We determine the values of the one- and two-loop low energy constants
appearing in the SU(2) Chiral Perturbation Theory calculation of pion-pion
scattering. For this we use a recent and precise sum rule determination of some
scattering lengths and slopes that appear in the effective range expansion. In
addition we provide sum rules for these coefficients up to third order in the
expansion. Our results when using only the scattering lengths and slopes of the
S, P, D and F waves are consistent with previous determinations, but seem to
require higher order contributions if they are to accommodate the third order
coefficients of the effective range expansion.
