Integral lattice 3.21168.252.1.2

• Label: 3.21168.252.1.2
• Class number: $1$
• Dimension: $3$
• Determinant: $21168$
• Level: $252$

Lattice Invariants

Dimension:

$3$

Determinant:

$21168$

Level:

$252$

Density:

$0.149599650170942535164887780156\dots$

Group order:

$8$

Hermite number:

$0.433798424553666074202972796929\dots$

Minimal vector length:

$12$

Kissing number:

$2$

Normalized minimal vectors:

$(1, 0, 0)$

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Theta Series

Gram Matrix

$\left(\begin{array}{rrr} 12 & 6 & 6 \\ 6 & 17 & 3 \\ 6 & 3 & 129 \end{array}\right)$

Genus Structure

Genus representatives:

Class number:	$1$
$\left(\begin{array}{rrr} 12 & 6 & 6 \\ 6 & 17 & 3 \\ 6 & 3 & 129 \end{array}\right)$
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