What remnant core mass, following a supernova, leads to the formation of a Black Hole?

A remnant core mass greater than about $3 M_{ ext{odot}}$

The final fate of a star after a supernova explosion is determined by the mass of the core remaining after the outer layers have been blown away. If this remnant core mass is substantial enough, exceeding roughly $3 M_{ ext{odot}}$, the gravitational forces become so overwhelming that no known repulsive force can halt the collapse. Specifically, not even the neutron degeneracy pressure that supports a Neutron Star is sufficient to withstand this crush. Consequently, the core collapses indefinitely, shrinking down to an infinitesimal point of infinite density known as a singularity. This formation creates a Black Hole, an object whose gravitational influence is so intense that nothing, including light, can escape once past the boundary defined as the event horizon.