  The TOTEM experiment at the LHC has measured proton-proton elastic scattering
in dedicated runs at $\sqrt{s}=7$ and 8 TeV centre-of-mass LHC energies. The
proton-proton total cross-section $\sigma_{\rm tot}$ has been derived for both
energies using a luminosity independent method. TOTEM has excluded a purely
exponential differential cross-section for elastic proton-proton scattering
with significance greater than 7$\sigma$ in the $|t|$ range from 0.027 to 0.2
GeV$^{2}$ at $\sqrt{s}=8$ TeV.
