Properties

Label 2.9.18.1.2
Class number 1
Dimension 2
Determinant 9
Level 18

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Lattice Invariants

Dimension:$2$
Determinant:$9$
Level:$18$
Label:$2.9.18.1.2$
Density:$0.523598775598298873077107230546\dots$
Group order:$4$
Hermite number:$0.666666666666666666666666666667\dots$
Minimal vector length:$2$
Kissing number:$2$
Normalized minimal vectors: $(1, 0)$
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Theta Series

\(1 \) \(\mathstrut +\mathstrut 2q^{2} \) \(\mathstrut +\mathstrut 4q^{5} \) \(\mathstrut +\mathstrut 2q^{8} \) \(\mathstrut +\mathstrut 4q^{9} \) \(\mathstrut +\mathstrut 4q^{17} \) \(\mathstrut +\mathstrut 4q^{18} \) \(\mathstrut +\mathstrut 4q^{20} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rr} 2 & -1 \\ -1 & 5 \end{array}\right)$

Genus Structure

Class number:$1$
 
Genus representatives: $\left(\begin{array}{rr} 2 & 1 \\ 1 & 5 \end{array}\right)$
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