  Recent experimental developments in hydrogen-rich materials in high pressures
have put this class of materials above others in the race toward room
temperature superconductivity. As it is the basis of all the materials in this
class, the efforts to determine the properties of pure solid hydrogen at high
pressures remain intense. Most notably, a recent experimental study of the
metallization of hydrogen identified the crystal phase of the solid as the
C2/c-24 molecular phase up to ~425 GPa. It is possible that the observed
metallization is caused by band structure effects and not a structural phase
transition, and the material remains in this crystal phase up to higher
pressures. Therefore it is of crucial importance to determine the
superconducting properties of the C2/c-24 phase. Here, we employ a Wannier
function-based dense k-point and q-point sampling to compute the
electron-phonon coupling and superconducting properties of molecular hydrogen
in the C2/c-24 phase. We find that the material has a high superconducting
transition temperature of 242 K at 500 GPa. We also find that the transition
temperature rapidly increases with pressure in the 400 - 500 GPa range.
