Question 110, Given that the set of points in the complex plane corresponding to the complex number $z$ satisfying the condition $\left|z^{2}\right|+\left|z^{2}-1\right|=7$ forms a quadratic curve, find the eccentricity $e$ of this quadratic curve.

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Question 110, Given that the set of points in the complex plane corresponding to the complex number $z$ satisfying the condition $\left|z^{2}\right|+\left|z^{2}-1\right|=7$ forms a quadratic curve, find the eccentricity $e$ of this quadratic curve.