Properties

Label 2.8.16.1.2
Class number 1
Dimension 2
Determinant 8
Level 16

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Lattice Invariants

Dimension:$2$
Determinant:$8$
Level:$16$
Label:$2.8.16.1.2$
Density:$0.833040550904693671315477685636\dots$
Group order:$4$
Hermite number:$1.06066017177982128660126654316\dots$
Minimal vector length:$3$
Kissing number:$4$
Normalized minimal vectors: $(1, 0)$, $(0, 1)$
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Theta Series

\(1 \) \(\mathstrut +\mathstrut 4q^{3} \) \(\mathstrut +\mathstrut 2q^{4} \) \(\mathstrut +\mathstrut 2q^{8} \) \(\mathstrut +\mathstrut 4q^{11} \) \(\mathstrut +\mathstrut 4q^{12} \) \(\mathstrut +\mathstrut 2q^{16} \) \(\mathstrut +\mathstrut 4q^{19} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rr} 3 & -1 \\ -1 & 3 \end{array}\right)$

Genus Structure

Class number:$1$
 
Genus representatives: $\left(\begin{array}{rr} 3 & 1 \\ 1 & 3 \end{array}\right)$
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