Integral lattice 3.24336.156.1.1

• Label: 3.24336.156.1.1
• Class number: $1$
• Dimension: $3$
• Determinant: $24336$
• Level: $156$

Lattice Invariants

Dimension:

$3$

Determinant:

$24336$

Level:

$156$

Density:

$0.277974159269856974664536216958\dots$

Group order:

$8$

Hermite number:

$0.655647689933707674426753983045\dots$

Minimal vector length:

$19$

Kissing number:

$4$

Normalized minimal vectors:

$(1, -1, 0)$, $(0, 1, 0)$

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Theta Series

Gram Matrix

$\left(\begin{array}{rrr} 24 & 12 & -12 \\ 12 & 19 & -6 \\ -12 & -6 & 84 \end{array}\right)$

Genus Structure

Genus representatives:

Class number:	$1$
$\left(\begin{array}{rrr} 19 & -7 & -6 \\ -7 & 19 & -6 \\ -6 & -6 & 84 \end{array}\right)$
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