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Properties

Label 2.6.12.1.1
Class number $1$
Dimension $2$
Determinant $6$
Level $12$

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Lattice Invariants

Dimension:$2$
Determinant:$6$
Level:$12$
Density:$0.320637457540466023886009089918\dots$
Group order:$4$
Hermite number:$0.408248290463863016366214012451\dots$
Minimal vector length:$1$
Kissing number:$2$
Normalized minimal vectors: $(1, 0)$
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Theta Series

\(1 \) \(\mathstrut +\mathstrut 2 q \) \(\mathstrut +\mathstrut 2 q^{4} \) \(\mathstrut +\mathstrut 2 q^{6} \) \(\mathstrut +\mathstrut 4 q^{7} \) \(\mathstrut +\mathstrut 2 q^{9} \) \(\mathstrut +\mathstrut 4 q^{10} \) \(\mathstrut +\mathstrut 4 q^{15} \) \(\mathstrut +\mathstrut 2 q^{16} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rr} 1 & 0 \\ 0 & 6 \end{array}\right)$

Genus Structure

Genus representatives:
Class number:$1$
 
$\left(\begin{array}{rr} 1 & 0 \\ 0 & 6 \end{array}\right)$
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