Even lattices of rank 15 and determinant 2

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• 2 isometry classes, mass 691/578473294823424000.
• 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): Roots in rank 16 even unimodular lattices. Norm 2/5 vectors in dual of rank 16 even lattices of determinant 5.