The star that died and became the Crab Nebula and Crab Pulsar? The supernova of this star was witnessed about 1 thousand years ago, and the star's remains are the Crab Nebula and Crab Pulsar. What is this no longer existent star called? How massive was this star? What was the star like before the supernova?
The crab nebula is more than 6000 light years away. Its progenitor was probably towards the lower end of stars that go supernova. And according to the luminoisity calculator had a magnitude of about 8.  This means that the progenitor was not visible to the naked eye.
As only the brighter naked eye stars have ever been named, and this star was not seen before it exploded, it had no name in any culture.
The star was probably about 8-10 solar masses. Prior to supernova it is assumed to have been a red giant.