Integral lattice 2.21840.43680.1.2

• Label: 2.21840.43680.1.2
• Class number: $1$
• Dimension: $2$
• Determinant: $21840$
• Level: $43680$

Lattice Invariants

Dimension:

$2$

Determinant:

$21840$

Level:

$43680$

Density:

$0.170064451484929428700508985720\dots$

Group order:

$2$

Hermite number:

$0.216532784784306707643285635750\dots$

Minimal vector length:

$32$

Kissing number:

$2$

Normalized minimal vectors:

$(1, 0)$

Download this vector for gp, magma, sage

Theta Series

Gram Matrix

$\left(\begin{array}{rr} 32 & 12 \\ 12 & 687 \end{array}\right)$

Genus Structure

Genus representatives:

Class number:	$1$
$\left(\begin{array}{rr} 32 & 12 \\ 12 & 687 \end{array}\right)$
	Download this matrix for gp, magma, sage