Properties

Label 2.21.42.1.4
Class number 1
Dimension 2
Determinant 21
Level 42

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Lattice Invariants

Dimension:$2$
Determinant:$21$
Level:$42$
Label:$2.21.42.1.4$
Density:$0.856939651059071921652897864856\dots$
Group order:$4$
Hermite number:$1.09108945117996190633048742708\dots$
Minimal vector length:$5$
Kissing number:$4$
Normalized minimal vectors: $(1, 0)$, $(0, 1)$
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Theta Series

\(1 \) \(\mathstrut +\mathstrut 4q^{5} \) \(\mathstrut +\mathstrut 2q^{6} \) \(\mathstrut +\mathstrut 2q^{14} \) \(\mathstrut +\mathstrut 4q^{17} \) \(\mathstrut +\mathstrut 4q^{20} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rr} 5 & 2 \\ 2 & 5 \end{array}\right)$

Genus Structure

Class number:$1$
 
Genus representatives: $\left(\begin{array}{rr} 5 & 2 \\ 2 & 5 \end{array}\right)$
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