Tyre for an agricultural vehicle, comprising two beads each having at least one annular reinforcing structure and a carcass reinforcement anchored in each of the beads by a turn-up around the annular reinforcing structure, the carcass reinforcement being made up of one or two carcass plies comprising one or more reinforcing elements, each carcass reinforcing element comprising: - an assembly made up of two multifilament strands of aromatic polyamide or aromatic copolyamide, and of a single multifilament strand of aliphatic polyamide, the strands being wound together in a helix so as to form a layer; or - an assembly made up of a single multifilament strand of aromatic polyamide or aromatic copolyamide, and of a single multifilament strand of aliphatic polyamide, the strands being wound together in a helix around one another; or - a core made up of a first multifilament strand of aliphatic polyamide, and a layer comprising at least two second multifilament strands of aromatic polyamide or aromatic copolyamide, the second strands of the layer being wound together in a helix around the core; characterized in that the tyre is obtained by a method comprising a step of manufacturing each carcass ply in which the carcass reinforcing element(s) covered with a coating having an adhesive function in a polymer composition is/are embedded in order to form each uncured carcass ply, the ratio of the tangent modulus at the equivalent force developed by the uncured ply at 7% elongation to the secant modulus at the equivalent force developed by the uncured ply at 1% elongation being greater than or equal to 2.00, the tangent and secant moduli being obtained from a force-elongation curve obtained by applying the standard ASTM D 885/D 885M - 10a of 2014; wherein the density of carcass reinforcing elements in the uncured carcass ply ranges from 50 to 150 carcass reinforcing elements per decimetre of uncured carcass ply; and wherein each carcass reinforcing element makes an angle in the range from 85° to 95° with the circumferential direction Z of the tyre. - an assembly made up of two multifilament strands of aromatic polyamide or aromatic copolyamide, and of a single multifilament strand of aliphatic polyamide, the strands being wound together in a helix so as to form a layer; or - an assembly made up of a single multifilament strand of aromatic polyamide or aromatic copolyamide, and of a single multifilament strand of aliphatic polyamide, - a core made up of a first multifilament strand of aliphatic polyamide, and a layer comprising at least two second multifilament strands of aromatic polyamide or aromatic copolyamide, the second strands of the layer being wound together in a helix around the core; characterized in that the tyre is obtained by a method comprising a step of manufacturing each carcass ply in which the carcass reinforcing element(s) covered with a coating having an adhesive function in a polymer composition is/are embedded in order to form each uncured carcass ply, the ratio of the tangent modulus at the equivalent force developed by the uncured ply at 7% elongation to the secant modulus at the equivalent force developed by the uncured ply at 1% elongation being greater than or equal to 2.00, the tangent and secant moduli being obtained from a force-elongation curve obtained by applying the standard ASTM D 885/D 885M - 10a of 2014; wherein the density of carcass reinforcing elements in the uncured carcass ply ranges from 50 to 150 carcass reinforcing elements per decimetre of uncured carcass ply; and wherein each carcass reinforcing element makes an angle in the range from 85° to 95° with the circumferential direction Z of the tyre.