Properties

Label 2.24.48.1.3
Class number 1
Dimension 2
Determinant 24
Level 48

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Lattice Invariants

Dimension:$2$
Determinant:$24$
Level:$48$
Label:$2.24.48.1.3$
Density:$0.801593643851165059715022724794\dots$
Group order:$4$
Hermite number:$1.02062072615965754091553503113\dots$
Minimal vector length:$5$
Kissing number:$4$
Normalized minimal vectors: $(1, 0)$, $(0, 1)$
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Theta Series

\(1 \) \(\mathstrut +\mathstrut 4q^{5} \) \(\mathstrut +\mathstrut 2q^{8} \) \(\mathstrut +\mathstrut 2q^{12} \) \(\mathstrut +\mathstrut 4q^{20} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

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

Genus Structure

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