Tyre of substantially toric shape about an axis of revolution (A), comprising a crown , two sidewalls and two beads , each sidewall connecting each bead to the crown , the tyre comprising at least one continuous filamentary reinforcing element comprising N≥2 circumferential turns about the axis of revolution (A) which are radially superposed on one another, the continuous filamentary reinforcing element comprising a radially outer free end (E1, E3) and a radially inner free end (E2, E4), the continuous filamentary reinforcing element extending radially at least in part in one of the two beads , characterized in that at least one of conditions I and II is satisfied: I - the radially outer free end (E1, E3) is, at the azimuth (AzO; Az0') of the radially outer free end (E1, E3), arranged radially between: - at least one first portion of the continuous filamentary reinforcing element , this first portion being arranged radially on the outside of the radially outer free end (E1, E3), and - at least one second portion of the continuous filamentary reinforcing element , this second portion being arranged radially on the inside of the radially outer free end (E1, E3), II - the radially inner free end (E2, E4) is, at the azimuth (AzO; Az0") of the radially inner free end (E2, E4), arranged radially between: - at least one first portion of the continuous filamentary reinforcing element , this first portion being arranged radially on the outside of the radially inner free end (E2, E4), and - at least one second portion of the continuous filamentary reinforcing element , this second portion being arranged radially on the inside of the radially inner free end (E2, E4). I - the radially outer free end (E1, E3) is, at the azimuth (AzO; Az0') of the radially outer free end (E1, E3), arranged radially between: - at least one first portion of the continuous filamentary reinforcing element , this first portion being arranged radially on the outside of the radially outer free end (E1, E3), and - at least one second portion of the continuous filamentary reinforcing element , this second portion being arranged radially on the inside of the radially outer free end (E1, E3), - at least one first portion of the continuous filamentary reinforcing element , this first portion being arranged radially on the outside of the radially outer free end (E1, E3), and - at least one second portion of the continuous filamentary reinforcing element , this second portion being arranged radially on the inside of the radially outer free end (E1, E3), II - the radially inner free end (E2, E4) is, at the azimuth (AzO; Az0") of the radially inner free end (E2, E4), arranged radially between: - at least one first portion of the continuous filamentary reinforcing element , this first portion being arranged radially on the outside of the radially inner free end (E2, E4), and - at least one second portion of the continuous filamentary reinforcing element , this second portion being arranged radially on the inside of the radially inner free end (E2, E4). - at least one first portion of the continuous filamentary reinforcing element , this first portion being arranged radially on the outside of the radially inner free end (E2, E4), and - at least one second portion of the continuous filamentary reinforcing element , this second portion being arranged radially on the inside of the radially inner free end (E2, E4). <EOS>