Tyre intended to equip a vehicle bearing heavy loads, this tyre comprising a tread including at least one rubber composition based on at least: - an elastomer matrix comprising at least one modified copolymer at a content greater than or equal to 51 phr, said modified copolymer having a glass transition temperature Tg strictly above -65°C and below or equal to -30°C, said modified copolymer being obtained by modification of the copolymer based on styrene and butadiene with a functionalizing agent on the living copolymer obtained from the anionic polymerization step and is composed of copolymers functionalized at the chain end, star-branched copolymers and copolymers functionalized in the middle of the chain with an alkoxysilane group linking the two arms of said copolymer via the silicon atom which bears an amine function bonded directly or via a spacer group to the silicon atom, the functionalizing agent corresponds to the formula: (OR') 3 SiX in which: • in the alkoxyl radicals of formula -OR', R' represents a substituted or unsubstituted C 1 -C 10 or even C 1 -C 8 alkyl radical, preferably a C 1 -C 4 alkyl group, more preferentially methyl and ethyl; • X represents a group including an amine function. - a reinforcing filler predominantly comprising silica, - a chemical crosslinking system, - an agent for coupling between said elastomeric matrix and said reinforcing filler, - a plasticizing system comprising from 2 to 15 phr, preferably from 2 to 10 phr, of at least one plasticizing resin having a glass transition temperature Tg of greater than or equal to 20°C, and of which the total content of the plasticizing system in the composition ranges from 2 to 17 phr, preferably from 2 to 12 phr. - an elastomer matrix comprising at least one modified copolymer at a content greater than or equal to 51 phr, said modified copolymer having a glass transition temperature Tg strictly above -65°C and below or equal to -30°C, said modified copolymer being obtained by modification of the copolymer based on styrene and butadiene with a functionalizing agent on the living copolymer obtained from the anionic polymerization step and is composed of copolymers functionalized at the chain end, star-branched copolymers and copolymers functionalized in the middle of the chain with an alkoxysilane group linking the two arms of said copolymer via the silicon atom which bears an amine function bonded directly or via a spacer group to the silicon atom, the functionalizing agent corresponds to the formula: (OR') 3 SiX in which: • in the alkoxyl radicals of formula -OR', R' represents a substituted or unsubstituted C 1 -C 10 or even C 1 -C 8 alkyl radical, preferably a C 1 -C 4 alkyl group, more preferentially methyl and ethyl; • X represents a group including an amine function. • in the alkoxyl radicals of formula -OR', R' represents a substituted or unsubstituted C 1 -C 10 or even C 1 -C 8 alkyl radical, preferably a C 1 -C 4 alkyl group, more preferentially methyl and ethyl; • X represents a group including an amine function. - a reinforcing filler predominantly comprising silica, - a chemical crosslinking system, - an agent for coupling between said elastomeric matrix and said reinforcing filler, - a plasticizing system comprising from 2 to 15 phr, preferably from 2 to 10 phr, of at least one plasticizing resin having a glass transition temperature Tg of greater than or equal to 20°C, and of which the total content of the plasticizing system in the composition ranges from 2 to 17 phr, preferably from 2 to 12 phr.