Controller as has been said is the brains of the bike , it contains the pre programmed PCB . The motor, battery and all other peripheral items are wired to it.
The display is on the handle bars one selects the assist level to use , some internet numpties call it the controller as they simply don't understand the terminology used.
Some batteries do have the controller mounted at the base of the battery holder and some use a separate controller which is an aluminium box approx. 8.5cm x 6.5cm, to know which you have look to see where all the bikes wiring goes to.
If all the wiring emanates form the base of the battery holder , then you will have the integrated battery holder with controller .
The display is on the handle bars one selects the assist level to use , some internet numpties call it the controller as they simply don't understand the terminology used.
Some batteries do have the controller mounted at the base of the battery holder and some use a separate controller which is an aluminium box approx. 8.5cm x 6.5cm, to know which you have look to see where all the bikes wiring goes to.
If all the wiring emanates form the base of the battery holder , then you will have the integrated battery holder with controller .