A Characetrization of Vertex Operator Algebra L(1/2,0)otimes L(1/2,0)

It is shown that any simple, rational and C_2-cofinite vertex operator algebra whose weight 1 subspace is zero, the dimension of weight 2 subspace is greater than or equal to 2 and with central charge c=1, is isomorphic to L(1/2,0)otimes L(1/2,0).