Does anyone know of a classification of those (complex) Lie algebras satisfying:

1. generated by two elements

2. is a $\mathbb{Z}$-graded Lie algebra

3. is finite dimensional?

Does anyone know of a classification of those (complex) Lie algebras which are:

1. generated by two elements
2. $\mathbb{Z}$-graded Lie algebras
3. finite dimensional