The smallest deformation of the minimal model M(2,3) that can accommodate
Cardy's derivation of the percolation crossing probability is presented. It is
shown that this leads to a consistent logarithmic conformal field theory at
c=0. A simple recipe for computing the associated fusion rules is given. The
differences between this theory and the other recently proposed c=0 logarithmic
conformal field theories are underlined. The discussion also emphasises the
existence of invariant logarithmic couplings that generalise Gurarie's anomaly
number.