Hard to tell if this bass matches the description of known, stolen instruments, but the seller says he bought it at police auction, which I find suspicious:
http://cgi.ebay.com/ALEMBIC-SPOILER-BASS-GUITAR-very-nice-4-string-BASS_W0QQitemZ7371652045QQcategoryZ4713QQssPageNameZWDVWQQrdZ1QQcmdZViewItem

what pickups are those?

This looks to me as if it originally had Persuader electronics with P/J pickups.  When you clean the picture up a bit you can see that the neck pickup is a J type with a large collar around it.  I'm guessing the large collar is to cover up where the routing orignially was for the P type pickup.  There are just three controls which also suggests this was originally Persuader electronics; thus the controls would have been volume/volume/filter.  The knob on the filter is not stock; it may just be a replacement for a broken knob, or the electronics may have been altered.

I emailed the seller.  The serial number has been filed off.

OMG, that neck p'up looks horrible! How bad could the P p'up have been in order to butch this bass like that? Between that and the missing S/N, it'd have to be priced like a gimme in order for me to take it home! Just my $0.02.

There is a Persuader on the stolen instruments page.

Could it be the same one?

I have been informed that it is not the same one.