Properties

Label 2.24.48.1.4
Class number 1
Dimension 2
Determinant 24
Level 48

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Lattice Invariants

Dimension:$2$
Determinant:$24$
Level:$48$
Label:$2.24.48.1.4$
Density:$0.480956186310699035829013634877\dots$
Group order:$4$
Hermite number:$0.612372435695794524549321018677\dots$
Minimal vector length:$3$
Kissing number:$2$
Normalized minimal vectors: $(1, 0)$
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Theta Series

\(1 \) \(\mathstrut +\mathstrut 2q^{3} \) \(\mathstrut +\mathstrut 2q^{8} \) \(\mathstrut +\mathstrut 4q^{11} \) \(\mathstrut +\mathstrut 2q^{12} \) \(\mathstrut +\mathstrut 4q^{20} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rr} 3 & 0 \\ 0 & 8 \end{array}\right)$

Genus Structure

Class number:$1$
 
Genus representatives: $\left(\begin{array}{rr} 3 & 0 \\ 0 & 8 \end{array}\right)$
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