Integral lattice 2.5160.10320.1.8

• Label: 2.5160.10320.1.8
• Class number: $1$
• Dimension: $2$
• Determinant: $5160$
• Level: $10320$

Lattice Invariants

Dimension:

$2$

Determinant:

$5160$

Level:

$10320$

Density:

$0.743487965620327197890756123214\dots$

Group order:

$2$

Hermite number:

$0.946638278862497688499658293642\dots$

Minimal vector length:

$68$

Kissing number:

$2$

Normalized minimal vectors:

$(1, 0)$

Download this vector for gp, magma, sage

Theta Series

Gram Matrix

$\left(\begin{array}{rr} 68 & -22 \\ -22 & 83 \end{array}\right)$

Genus Structure

Genus representatives:

Class number:	$1$
$\left(\begin{array}{rr} 68 & 22 \\ 22 & 83 \end{array}\right)$
	Download this matrix for gp, magma, sage