Answer
Elliptic cylinder
Work Step by Step
There is no z in the equation, so the trace in the xy plane (where z=0) is the ellipse $4x^{2}+y^{2}=4$
Take the ellipse $4x^{2}+y^{2}=4$ in the xy plane and translate it into planes $z=k$, along the z-axis.
What we obtain is an elliptic cylinder (see image).
