Integral lattice 3.23232.264.1.1

• Label: 3.23232.264.1.1
• Class number: $1$
• Dimension: $3$
• Determinant: $23232$
• Level: $264$

Lattice Invariants

Dimension:

$3$

Determinant:

$23232$

Level:

$264$

Density:

$0.240784598789903931339496653357\dots$

Group order:

$4$

Hermite number:

$0.595781099667474321837652729442\dots$

Minimal vector length:

$17$

Kissing number:

$2$

Normalized minimal vectors:

$(1, 0, 0)$

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Theta Series

Gram Matrix

$\left(\begin{array}{rrr} 17 & 4 & 2 \\ 4 & 32 & 16 \\ 2 & 16 & 52 \end{array}\right)$

Genus Structure

Genus representatives:

Class number:	$1$
$\left(\begin{array}{rrr} 17 & 4 & 2 \\ 4 & 32 & 16 \\ 2 & 16 & 52 \end{array}\right)$
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