Integral lattice 3.26136.1584.1.1

• Label: 3.26136.1584.1.1
• Class number: $1$
• Dimension: $3$
• Determinant: $26136$
• Level: $1584$

Lattice Invariants

Dimension:

$3$

Determinant:

$26136$

Level:

$1584$

Density:

$0.169656738997553632973705031830\dots$

Group order:

$2$

Hermite number:

$0.471753352545006322671440716274\dots$

Minimal vector length:

$14$

Kissing number:

$2$

Normalized minimal vectors:

$(1, 0, 0)$

Download this vector for gp, magma, sage

Theta Series

Gram Matrix

$\left(\begin{array}{rrr} 14 & 1 & 6 \\ 1 & 26 & -9 \\ 6 & -9 & 78 \end{array}\right)$

Genus Structure

Genus representatives:

Class number:	$1$
$\left(\begin{array}{rrr} 14 & 1 & 6 \\ 1 & 26 & -9 \\ 6 & -9 & 78 \end{array}\right)$
	Download this matrix for gp, magma, sage