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

Michael Hentschel, Aloys Krieg, Gabriele Nebe

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 this classification we construct the associa…