$\begin{array}{1 1}Eccentricity =\frac{\sqrt 5}{3}\quad Latus\; Rectum = \frac{16}{3} \\ Eccentricity =\frac{\sqrt 20}{3}\quad Latus\; Rectum = \frac{32}{3} \\ Eccentricity =\frac{\sqrt 5}{6}\quad Latus\; Rectum = \frac{16}{3} \\Eccentricity =\frac{\sqrt 20}{3}\quad Latus\; Rectum = \frac{8}{3} \end{array} $