  We calculate the leading Coulomb correction to the energy loss in the
electron-nucleus Bremsstrahlung for arbitrary energy of the incoming particle.
This correction determines the charge asymmetry, i.e., the difference of
electron and positron energy loss. The result is presented in terms of the
classical polylogarithms $\mathrm{Li}_2$ and $\mathrm{Li}_3$. We use modern
multiloop methods based on the IBP reduction and on the differential equations
for master integrals. We provide both the threshold and the high-energy
asymptotics of the found asymmetry and compare them with the available results.
