Projective Embeddings of Ball Quotients, Birational to a Bi-elliptic Surface

For a neat lattice $$\Gamma < SU(1,2)$$, whose quotient $${\mathbb B} / \Gamma$$ is birational to bi-elliptic surface, we compute the dimensions of cuspidal $$\Gamma$$-modular forms $$[ \Gamma,n]_o$$ and all modular \Gamma, n]$$ weight $$n \geq 2. $$ The work provides sufficient condition for subspace $$V \subset [ determine regular projective embedding Baily-Borel compactification $$\widehat{ {\mathbb \Gamma}$$ applies this criterion specific example.