### Free modular lattice on 3 generators in Sage

Is there an easy/quick way to obtain the free modular lattice on 3 generators in Sage (it has 28 elements)?
I searched a bit but was not able to find a good way.
See https://blogs.ams.org/visualinsight/2016/01/01/free-modular-lattice-on-3-generators/ for the definition/visualization.

By the way, is there a reference for what the free modular lattice on 2 generators is? I have a guess but I am not ~~sure.~~sure.
Is the poset of join-irreducible elements of the free modular lattice on 3 generators a special poset? Does it have a name?