Let $$P(x_1, y_1)$$ and $$Q(x_2, y_2), y_1 < 0, y_2 < 0$$, be the end of the latus rectum of the ellipse $$x^2 + 4y^2 = 4$$. The equations of parabolas with latus rectum PQ are

A

$$x^2 + 2\sqrt{3} y = 3+\sqrt{3}$$

B

$$x^2 - 2\sqrt{3} y = 3+\sqrt{3}$$

C

$$x^2 + 2\sqrt{3} y = 3-\sqrt{3}$$

D

$$x^2 - 2\sqrt{3} y = 3-\sqrt{3}$$