Properties

Label 2.28.56.1.2
Class number 1
Dimension 2
Determinant 28
Level 56

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Lattice Invariants

Dimension:$2$
Determinant:$28$
Level:$56$
Label:$2.28.56.1.2$
Density:$0.593705205861862974392312648975\dots$
Group order:$4$
Hermite number:$0.755928946018454454429033072468\dots$
Minimal vector length:$4$
Kissing number:$2$
Normalized minimal vectors: $(1, 0)$
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Theta Series

\(1 \) \(\mathstrut +\mathstrut 2q^{4} \) \(\mathstrut +\mathstrut 2q^{7} \) \(\mathstrut +\mathstrut 4q^{11} \) \(\mathstrut +\mathstrut 2q^{16} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rr} 4 & 0 \\ 0 & 7 \end{array}\right)$

Genus Structure

Class number:$1$
 
Genus representatives: $\left(\begin{array}{rr} 4 & 0 \\ 0 & 7 \end{array}\right)$
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