Even lattices of rank 14 and determinant 3

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• 2 isometry classes, mass 691/20659760529408000.
• 2 possible root systems, see here for statistics of reduced masses for each root system.
• Isometry classes distinguished by invariant: root system.
• Classified in: M. Kneser, Klassenzahlen definiter quadratischer Formen, Archiv der Math. 8, 241–250 (1957).
• Construction(s): Norm 3/2 vectors in duals of rank 15 even lattices of determinant 2. Embeddings of \({\rm A}_2\) in rank 16 even unimodular lattices.