In the famous proof of Mordell conjecture by Gerd Faltings, the so-called Parshin construction is known.

For example, let E/Q be an smooth elliptic curve, and let us pick up a Q-rational point P on E (i.e. x, y coordinates are both lying in Q).

According to Parshin's construction, we can associate the covering p:C ---> E to P.

Could you please provide me with any ``explicit’’ example of this covering p?

Sincerely yours, Pierre MATSUMI