If $e_1$,$e_2$,and $e_3$ are eccentricities of the conics $y = x^2 - x + 3$,$\frac{x^2}{a^2} + \frac{y^2}{3a^4} = 1$,and $a^2x^2 - 3a^4y^2 = 1$ respectively,then which of the following is correct? (where $a > 1$)
- A$e_3 < e_1 < e_2$
- B$e_2 < e_1 < e_3$
- C$e_3 < e_2 < e_1$
- D$e_1 < e_2 < e_3$
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