Properties

Label 2.7.7.1.1
Class number 1
Dimension 2
Determinant 7
Level 7

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Lattice Invariants

Dimension:$2$
Determinant:$7$
Level:$7$
Label:$2.7.7.1.1$
Density:$0.593705205861862974392312648974\dots$
Group order:$4$
Hermite number:$0.755928946018454454429033072468\dots$
Minimal vector length:$2$
Kissing number:$2$
Normalized minimal vectors: $(1, 0)$
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Theta Series

\(1 \) \(\mathstrut +\mathstrut 2q^{2} \) \(\mathstrut +\mathstrut 4q^{4} \) \(\mathstrut +\mathstrut 6q^{8} \) \(\mathstrut +\mathstrut 2q^{14} \) \(\mathstrut +\mathstrut 8q^{16} \) \(\mathstrut +\mathstrut 2q^{18} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rr} 2 & 1 \\ 1 & 4 \end{array}\right)$

Genus Structure

Class number:$1$
 
Genus representatives: $\left(\begin{array}{rr} 2 & 1 \\ 1 & 4 \end{array}\right)$
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