Properties

Label 2.14.28.1.1
Class number 1
Dimension 2
Determinant 14
Level 28

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Lattice Invariants

Dimension:$2$
Determinant:$14$
Level:$28$
Label:$2.14.28.1.1$
Density:$0.629719465636017742294586755177\dots$
Group order:$2$
Hermite number:$0.801783725737273154053660442639\dots$
Minimal vector length:$3$
Kissing number:$2$
Normalized minimal vectors: $(1, 0)$
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Theta Series

\(1 \) \(\mathstrut +\mathstrut 2q^{3} \) \(\mathstrut +\mathstrut 2q^{5} \) \(\mathstrut +\mathstrut 2q^{6} \) \(\mathstrut +\mathstrut 2q^{10} \) \(\mathstrut +\mathstrut 2q^{12} \) \(\mathstrut +\mathstrut 2q^{13} \) \(\mathstrut +\mathstrut 2q^{19} \) \(\mathstrut +\mathstrut 2q^{20} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rr} 3 & 1 \\ 1 & 5 \end{array}\right)$

Genus Structure

Class number:$1$
 
Genus representatives: $\left(\begin{array}{rr} 3 & 1 \\ 1 & 5 \end{array}\right)$
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