The electrofission cross section of 233U has been measured in the energy interval from 5.75 to 31 MeV. Making use of the photofission cross section and the virtual photon formalism, the electrofission cross section corresponding to non-electric-dipole transitions has been obtained. Assuming as well that the fission decay of 233U is statistical, the E2 photofission cross section has been calculated, from which in turn the M1 strength has been deduced.