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The invention relates to a functionalized diene elastomer composed: a) of a diene elastomer functionalized, at the chain end or in the middle of the chain, by a tin functional group, exhibiting a monomodal distribution of molecular weights before functionalization and a polydispersity index before functionalization of less than or equal to 1.3, b) of a diene elastomer star-branched with a tin compound, exhibiting a monomodal distribution of molecular weights before star-branching and a polydispersity index before star-branching of less than or equal to 1.3, and c) of a content of less than 15% by weight, with respect to the total weight of the functionalized diene elastomer, of a non-tin-functional diene elastomer, the said diene elastomers a), b) and c) being, before optional functionalization or optional star-branching, the same in nature.