What is the full model number of the tablet?
According to the hardware maintenance manual found on this support page for a YOGA TAB 3 10'' Tablet (YT3-X50F, YT3-X50L, YT3-X50M) there is no separate part number for the battery cable so it may be integral to the battery itself.
The part number for a battery pack is 5B18C03587 (see p.30 Item #3). When searching for that number you get results for L15C3K32, L15D3K32 batteries (which show the cable attached) and not the battery model number you quoted.
Just thought you may get results for suppliers of the battery if you search for the Lenovo battery part number instead of the battery model number printed on the battery. This usually works if the same battery is used in different models and is advertised by the Lenovo part number by the supplier and not the battery model number.
Search online for Lenovo (insert full model number of tablet) manual to find the Lenovo support page which has the hardware maintenance manual for your particular model variant to find the Lenovo part number for the battery