We report a precise Co nuclear quadrupolar resonance (NQR) measurement on the recently discovered cobalt oxyhydrate NaCoO$\cdot y_{2}T$=40 K down to 0.2 K. We find that in the normal state the spin-lattice relaxation rate follows a Curie-Weiss type temperature () variation, , with =-42 K, suggesting two-dimensional antiferromagnetic spin correlations. Below =3.9 K, decreases with no coherence peak and follows a dependence with 2.2 down to 2.0 K but crosses over to a variation below =1.4 K, which suggests non s-wave superconductivity. The data in the superconducting state are most consistent with the existence of line nodes in the gap function.

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