In the Proof of Mordell Conjecture by Gerd Faltings, it is famous that Parshin constructed curve C_P for each Q-rational point P on the given curve C over Q such that genus of C satisfies g(C) > 0.

Is there anybody that, in case C = E elliptic curve over Q, gives me explicite construction

C_P ---> E

together with Q-rational point P on E?

I am quite anxious for an explicite example of Parshin's construction. Many thanks. Sincerely yours, Pierre MATSUMI

In the Proof of Mordell Conjecture by Gerd Faltings, it is famous that Parshin constructed a curve $C_P$ for each $\mathbb{Q}$-rational point $P$ on the given curve $C$ over $\mathbb{Q}$ such that the genus of $C$ satisfies $g(C) > 0$.

Is there anybody that, in case where $C = E$ is an elliptic curve over $Q$, gives me an explicit construction

$C_P \to E$

together with a $\mathbb{Q}$-rational point $P$ on $E$?

I am quite anxious for an explicit example of Parshin's construction. Many thanks. Sincerely yours, Pierre MATSUMI