Rotate Mesh/Body with Quaternion

I have a body and I want to rotate it in y axis but with quaternion because I dont have rotation on the body.

Thanks

Some things about the quaternion

From the Collection of examples from discourse.threejs.org

https://hofk.de/main/discourse.threejs/2021/CarRacing/FlightRouteQuaternion.html
BasisToQuaternion
CarRacingQuaternion

There is any formula to convert it I want to rotate on Y axis