Properties

Label 2.5.10.1.1
Class number 1
Dimension 2
Determinant 5
Level 10

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Lattice Invariants

Dimension:$2$
Determinant:$5$
Level:$10$
Label:$2.5.10.1.1$
Density:$0.351240736552036319657818732160\dots$
Group order:$4$
Hermite number:$0.447213595499957939281834733746\dots$
Minimal vector length:$1$
Kissing number:$2$
Normalized minimal vectors: $(1, 0)$
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Theta Series

\(1 \) \(\mathstrut +\mathstrut 2q \) \(\mathstrut +\mathstrut 2q^{4} \) \(\mathstrut +\mathstrut 2q^{5} \) \(\mathstrut +\mathstrut 4q^{6} \) \(\mathstrut +\mathstrut 6q^{9} \) \(\mathstrut +\mathstrut 4q^{14} \) \(\mathstrut +\mathstrut 2q^{16} \) \(\mathstrut +\mathstrut 2q^{20} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rr} 1 & 0 \\ 0 & 5 \end{array}\right)$

Genus Structure

Class number:$1$
 
Genus representatives: $\left(\begin{array}{rr} 1 & 0 \\ 0 & 5 \end{array}\right)$
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