Let $E_1: \frac{x^2}{a^2}+\frac{y^2}{b^2}=1, a>b$. Let $E_2$ be ahother ellipse such that it touches the end points of major axis of $E_1$ and the foci of $E_2$ are the end points of minor axis of E1. If E1 and E2 have same eccentricities, then its value
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