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We give a classification of the lattices of rank r=4, r=8 and r=12 over\Q(\sqrt{-3}), which are even and unimodular \Z-lattices. Using thisclassification we construct the associated theta series, which are Hermitianmodular forms, and compute the filtration of cusp forms.

On the classification of lattices over $\Q(\sqrt{-3})$, which are even unimodular $\Z$-lattices