We consider the three-dimensional incompressible Euler equation under the assumption that the vorticity has vanishing swirl and in the absence of vorticity stretching. Assuming that the initial vorticity is primarily concentrated within an $epsilon$ neighborhood of a helix, we prove that its solution remains concentrated near a helix for any $t \in [0,T)$, with rotational speed scaling as $log epsilon$. This is joint work with Lifeng Zhao (USTC).