Properties

Label 2.8.16.1.1
Class number 1
Dimension 2
Determinant 8
Level 16

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Lattice Invariants

Dimension:$2$
Determinant:$8$
Level:$16$
Label:$2.8.16.1.1$
Density:$0.277680183634897890438492561879\dots$
Group order:$4$
Hermite number:$0.353553390593273762200422181053\dots$
Minimal vector length:$1$
Kissing number:$2$
Normalized minimal vectors: $(1, 0)$
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Theta Series

\(1 \) \(\mathstrut +\mathstrut 2q \) \(\mathstrut +\mathstrut 2q^{4} \) \(\mathstrut +\mathstrut 2q^{8} \) \(\mathstrut +\mathstrut 6q^{9} \) \(\mathstrut +\mathstrut 4q^{12} \) \(\mathstrut +\mathstrut 2q^{16} \) \(\mathstrut +\mathstrut 4q^{17} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rr} 1 & 0 \\ 0 & 8 \end{array}\right)$

Genus Structure

Class number:$1$
 
Genus representatives: $\left(\begin{array}{rr} 1 & 0 \\ 0 & 8 \end{array}\right)$
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