The name "Lamé curve" is used for either the ellipse evolute or the superellipse.
Lamé Curve
See also
Ellipse Evolute, SuperellipseExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Lamé Curve." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/LameCurve.html