Two-layer multi-strand cord having a modulus EC and comprising: - an internal layer of the cord made up of J>1 internal strands wound in a helix, each internal strand comprising: • an internal layer made up of Q≥1 internal threads, and • an external layer (C2; C3) made up of N>1 external threads (F2; F3) wound around the internal layer, - an external layer of the cord made up of L>1 external strands wound around the internal layer of the cord, each external strand comprising: • an internal layer (C1') made up of Q'≥1 internal threads (F1'), • an external layer (C2'; C3') made up of N'>1 external threads (F2'; F3') wound around the internal layer (C1'), characterized in that 50 GPa ≤ EC ≤ 160 GPa, the modulus EC of a cord is measured on an as-manufactured cord, namely a cord without any elastomeric compound in which the cord would be embedded in order to form a ply and is calculated by measuring the gradient of the elastic portion of a force-elongation curve obtained by applying standard ASTM D2969-04 of 2014 to the cord tested, and then by apportioning this gradient to the metal cross section of the cord, and in that the internal layer of the cord have a modulus El, 25 GPa ≤ El ≤ 180 GPa, the modulus El of the internal layer of the cord is measured by taking the internal layer of the cord either as-manufactured or by unravelling the external layer of external strands from the finished cord in order to obtain the internal layer of the cord alone and is calculated by measuring the gradient of the elastic portion of a force-elongation curve obtained by applying standard ASTM D2969-04 of 2014 to the internal layer of the cord tested, and then by apportioning this gradient to the metal cross section of the internal layer of the cord, and. in that El, 0.60 ≤ EC/El ≤ 1.20 or 0.40 ≤ EC/El ≤ 0.59 or 1.21 ≤ EC/EI ≤ 3.00. - an internal layer of the cord made up of J>1 internal strands wound in a helix, each internal strand comprising: • an internal layer made up of Q≥1 internal threads, and • an external layer (C2; C3) made up of N>1 external threads (F2; F3) wound around the internal layer, • an internal layer made up of Q≥1 internal threads, and • an external layer (C2; C3) made up of N>1 external threads (F2; F3) wound around the internal layer, - an external layer of the cord made up of L>1 external strands wound around the internal layer of the cord, each external strand comprising: • an internal layer (C1') made up of Q'≥1 internal threads (F1'), • an external layer (C2'; C3') made up of N'>1 external threads (F2'; F3') wound around the internal layer (C1'), • an internal layer (C1') made up of Q'≥1 internal threads (F1'), • an external layer (C2'; C3') made up of N'>1 external threads (F2'; F3') wound around the internal layer (C1'), characterized in that 50 GPa ≤ EC ≤ 160 GPa, the modulus EC of a cord is measured on an as-manufactured cord, namely a cord without any elastomeric compound in which the cord would be embedded in order to form a ply and is calculated by measuring the gradient of the elastic portion of a force-elongation curve obtained by applying standard ASTM D2969-04 of 2014 to the cord tested, and then by apportioning this gradient to the metal cross section of the cord, and in that the internal layer of the cord have a modulus El, 25 GPa ≤ El ≤ 180 GPa, the modulus El of the internal layer of the cord is measured by taking the internal layer of the cord either as-manufactured or by unravelling the external layer of external strands from the finished cord in order to obtain the internal layer of the cord alone and is calculated by measuring the gradient of the elastic portion of a force-elongation curve obtained by applying standard ASTM D2969-04 of 2014 to the internal layer of the cord tested, and then by apportioning this gradient to the metal cross section of the internal layer of the cord, and. in that El, 0.60 ≤ EC/El ≤ 1.20 or 0.40 ≤ EC/El ≤ 0.59 or 1.21 ≤ EC/EI ≤ 3.00.