  We present the OSp(2,2|6) symmetric algebraic curve for the AdS4/CFT3 duality
recently proposed in arXiv:0806.1218. It encodes all classical string solutions
at strong t'Hooft coupling and the full two loop spectrum of long single trace
gauge invariant operators in the weak coupling regime. This construction can
also be used to compute the complete superstring semi-classical spectrum around
any classical solution. We exemplify our method on the BMN point-like string.
