Macbook pro random shut off help

I have a early 2011 macbook pro

its been having random shut off problems

i've tried reinstalling os, updating, resetting smc/pram/nvram

macbook will randomly shut off, sometimes few minutes into turning it on or hour or 2 of using it, its random

it'll shut off with the charger connected as well

it'll also shut off when using the battery, even when its around 90% charged.

Once it shuts off the battery indicator will show nothing but once pluged in to the charger and reboot, the indicator will show plenty of charge

is there something wrong with the battery or connection?

here is my battery log

Pack Lot Code: 0

PCB Lot Code: 0

Firmware Version: 201

Hardware Revision: 000a

Cell Revision: 165

Charge Information:

Charge Remaining (mAh): 4157

Fully Charged: No

Charging: No

Full Charge Capacity (mAh): 4393

Health Information:

Cycle Count: 483

Condition: Service Battery

Battery Installed: Yes

Amperage (mA): -1047

Voltage (mV): 12127

any advice would be greatly appreciated

thanks