That is a "scooter" and not an eBike.eBike with no pedals, Ca. DMV legal, no fee's or license's required, must be 16+.
The handbook is just an abreviation of CA laws and not the actual law definitions.Ca. DMV Motorcycle Handbook 2016, Motorized bicycles or moped, page 2, and read class 2 again. The NEW handbooks should be out soon, it seems every year they are changing the rules, so I keep all of the past issues.