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Adding two moving points on an elliptic curve

I have an elliptic curve, say 100.1-e2.

$y^2 + xy + y = x^3 - x^2 + (-131a - 205)x + (1758a + 2745)$

$ (a^{2} - a - 4 = 0) $

I choose a point P=(r,s) with parameters and another point Q=(u,v) with parameters. I want to add these two points in Sage and save the result in x and y. How can I do it?

:-(