Is the Lie algebra of $SL(2,C)$ isomorphic to the Lie algebra of Lorentz group?

Question

The Lie algebra of $SL(2,C)$ is given by $[X_1,X_2]=2X_2$, $[X_1,X_3]=-2X_3$ , and $[X_2,X_3]=X_1$, while the Lie algebra of the Lorentz group is given by: $\left[J_{i}, J_{j}\right]=\epsilon_{i j k} J_{k}, \quad\left[J_{i}, K_{j}\right]=\epsilon_{i j k} K_{k}, \quad\left[K_{i}, K_{j}\right]=-\epsilon_{i j k} J_{k}$ . Why are these two Lie algebras isomorphic?