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Properties

Label 2.18.36.1.2
Class number $1$
Dimension $2$
Determinant $18$
Level $36$

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Lattice Invariants

Dimension:$2$
Determinant:$18$
Level:$36$
Density:$0.370240244846530520584656749171\dots$
Group order:$4$
Hermite number:$0.471404520791031682933896241403\dots$
Minimal vector length:$2$
Kissing number:$2$
Normalized minimal vectors: $(1, 0)$
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Theta Series

\(1 \) \(\mathstrut +\mathstrut 2 q^{2} \) \(\mathstrut +\mathstrut 2 q^{8} \) \(\mathstrut +\mathstrut 2 q^{9} \) \(\mathstrut +\mathstrut 4 q^{11} \) \(\mathstrut +\mathstrut 4 q^{17} \) \(\mathstrut +\mathstrut 2 q^{18} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rr} 2 & 0 \\ 0 & 9 \end{array}\right)$

Genus Structure

Genus representatives:
Class number:$1$
 
$\left(\begin{array}{rr} 2 & 0 \\ 0 & 9 \end{array}\right)$
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