The mobility of electrons depends on the temperature and the structure of the conductor. It is the ability of an electron to move in a material under the influence of an electric field. Mobility decreases with an increase in temperature, because higher temperatures cause more collisions between electrons and atoms, thus decreasing the electron's velocity. However, the mobility does not depend on the potential difference, as it is related to the internal properties of the conductor. Therefore, the correct options are:
\[
\text{C: does not depend on potential difference}, \quad \text{E: independent to the temperature of conductor}
\]