Properties

Label 2.13.26.1.2
Class number 1
Dimension 2
Determinant 13
Level 26

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Lattice Invariants

Dimension:$2$
Determinant:$13$
Level:$26$
Label:$2.13.26.1.2$
Density:$0.435660515351499142020501139431\dots$
Group order:$4$
Hermite number:$0.554700196225229122018341733457\dots$
Minimal vector length:$2$
Kissing number:$2$
Normalized minimal vectors: $(1, 0)$
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Theta Series

\(1 \) \(\mathstrut +\mathstrut 2q^{2} \) \(\mathstrut +\mathstrut 4q^{7} \) \(\mathstrut +\mathstrut 2q^{8} \) \(\mathstrut +\mathstrut 4q^{11} \) \(\mathstrut +\mathstrut 2q^{18} \) \(\mathstrut +\mathstrut 4q^{19} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rr} 2 & 1 \\ 1 & 7 \end{array}\right)$

Genus Structure

Class number:$1$
 
Genus representatives: $\left(\begin{array}{rr} 2 & 1 \\ 1 & 7 \end{array}\right)$
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