Integral lattice 2.21.42.1.1

• Label: 2.21.42.1.1
• Class number: $1$
• Dimension: $2$
• Determinant: $21$
• Level: $42$

Lattice Invariants

Dimension:

$2$

Determinant:

$21$

Level:

$42$

Density:

$0.171387930211814384330579572971\dots$

Group order:

$4$

Hermite number:

$0.218217890235992381266097485416\dots$

Minimal vector length:

$1$

Kissing number:

$2$

Normalized minimal vectors:

$(1, 0)$

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Theta Series

Gram Matrix

$\left(\begin{array}{rr} 1 & 0 \\ 0 & 21 \end{array}\right)$

Genus Structure

Genus representatives:

Class number:	$1$
$\left(\begin{array}{rr} 1 & 0 \\ 0 & 21 \end{array}\right)$
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