Two methods of passive remote sensing of mildly (E 5 MeV) relativistic electron beams as they propagate through the Earth's upper and middle atmosphere are presented. Utilization of bremsstrahlung emissions as a diagnostic indicator of beam characteristic energy and particle flux is compared and contrasted with that of the optical emission technique. A new MeV aurora1 electron model has been developed to compute line emission rates of O(lD)-+ O(3P) (X = 630.0-636.4 nm doublet), O(rS) + O(iD) (X = 557.7 nm), Nz(B3C,f) 3 N~(X2C~) (A = 391.4 nm and 427.8 nm from the N.$(lN) band), and Ns(C311,) 4 Nz(B3111,) (X = 337.1 nm from the Nz(2P) band). The 427.8 nm, .391.4 nm, and 337.1 nm lines are strong in intensity,.with production rates several orders of magnitude greater in than those of the 0 lines examined here. It is shown that the production of 337.1 nm is insensitive to compositional change and has a quenching height lower in altitude than the propagation depth of a 5 MeV electron beam, and thus the signature may be suitable as an indicator of electron flux for beams of comparable energy. The ratio of 427.8 nm to 391.4 nm emissions was found to be relatively 'insensitive to compositional changes, and the ratio varies with altitude at lower altitudes, suggesting that it may suitable for inference of characteristic beam energy for MeV electron beams. Advantages and disadvantages associated with both the bremsstrahlung and the optical techniques are presented.