Capacitor, or not ???

Can anyone out there tell me if the following motor requires a capacitor :

Reliance Electric I.D. # E77X7112M-PN If it does need a capacitor, which P/N should I ask for ?

It's 120 volt used to drive a gearbox. It has 3 wires coming out of it, labeled T1, T2, T3. I'd like to get it working, but searching on the internet
didn't do me any good at all.

Thanks to all, for taking time to help me !!!!!!!

Post *everything* listed on the data plate.

OK, here it is:
Reliance Duty Master A-C Motor
Ident No. E77X7112M-PN
FR : FM56P
TYPE: CS
PH: 1
HP: 1/2
RPM: 1725
VOLTS: 115
AMPS: 8.0
HZ: 60
SF: 1.00
TIME RATING: Cont.
INS. CLASS: B
INS. TYPE: --------
AMB DEG C: .40
NEMA DESIGN: --------
CODE: J

unlabeled box on data plate: TE


Reliance Elec. Co., Cleveland, Ohio

I'm guessing "Type: CS" translates to Capacitor Start, but beyond that I've also come up empty searching for any info. Guess we will need to wait for the motor experts.

If you have an ohmmeter, it might be helpful for you to measure the resistance between T1-T2, T1-T3, and T2-T3.

did a search for "reliance duty master motor start capacitor 1/2hp", and came up with https://www.electricmotorwholesale.com/Baldor-Motors-1PH-FarmDuty-TEFC/ Reliance and Baldor merged, and if you look at the data sheets for the three 1/2HP motors, the capacitors are all 270-324uF.

Might want to try an email to ABB/Baldor/Dodge/Reliance.
https://www.baldor.com/resources-and-support/customer-support/contact-sales-office