Isospin of pions

Suppose that I have two pions with zero relative angular momentum. I want to find possible total isospin values. What I'm thinking is that their state should be symmetric since they are bosons. Each pion is in isospin 1 representation of SU(2) so I take tensor product of spin 1 reps. I can decompose 1⊗1=2⊕1⊕0. Since representation with total isospin T=2 is symmetric I can get all the values from −2 to 2. Am I correct? Are there any other restrictions?

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