The body of a notchback motor vehicle, having at the rear, a rear load floor to which are fixed two lateral members each having a wheel housing and a lateral quarter pillar forming one part of one side of the passenger compartment. The two lateral quarter pillars are held together at the top by a cross member known as the rear window cross member, which supports the roof. Stiffening at least one lateral member in such a way as to transfer the forces exerted on the bottom of the body when the vehicle is moving directly to the upper cross member having a panel stiffener which is joined to the lateral quarter pillar and which exerts from the rear window lower cross member to the rear window upper cross member.
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