Properties

Label 2.12.24.1.2
Class number 1
Dimension 2
Determinant 12
Level 24

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Lattice Invariants

Dimension:$2$
Determinant:$12$
Level:$24$
Label:$2.12.24.1.2$
Density:$0.680174761587831693972779346616\dots$
Group order:$4$
Hermite number:$0.866025403784438646763723170753\dots$
Minimal vector length:$3$
Kissing number:$2$
Normalized minimal vectors: $(1, 0)$
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Theta Series

\(1 \) \(\mathstrut +\mathstrut 2q^{3} \) \(\mathstrut +\mathstrut 2q^{4} \) \(\mathstrut +\mathstrut 4q^{7} \) \(\mathstrut +\mathstrut 2q^{12} \) \(\mathstrut +\mathstrut 6q^{16} \) \(\mathstrut +\mathstrut 4q^{19} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rr} 3 & 0 \\ 0 & 4 \end{array}\right)$

Genus Structure

Class number:$1$
 
Genus representatives: $\left(\begin{array}{rr} 3 & 0 \\ 0 & 4 \end{array}\right)$
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