Modules of the toroidal Lie algebra slˆˆ2

‎Highest weight modules of the double affine Lie algebra slˆˆ2 are studied under a‎ ‎new triangular decomposition‎. ‎Singular vectors of Verma modules are‎ ‎determined using a similar condition with horizontal affine Lie‎ ‎subalgebras‎, ‎and highest weight modules are described under the‎ ‎condition c1 0 and c2=0.