The elastic magnetic form factor of 41Ca has been determined by 180° electron scattering in the momentum-transfer range 0.9–2.0 fm-1. An analysis of the data indicates that the amplitudes of the M3 and M5 multipoles are quenched by factors of 0.57±0.16 and 0.68±0.07 relative to the simple shell model. In contrast, the magnitude of the M7 form factor is in good accord with this model. Calculations that include multiparticle-multihole configurations in the 1f7/2 and 1d3/2 subshells, first-order core polarization to higher excited orbitals, and meson exchange currents give reasonable agreement with the data for all multipoles. The rms radius of the 1f7/2 neutron orbit was determined by means of a combined analysis of our results and previous data obtained at higher momentum transfers. After correcting for core polarization and meson exchange currents, the radius was found to be 3.96±0.05 fm, in agreement with the predictions of mean-field calculations.