Integral lattice 2.21.42.1.4

• Label: 2.21.42.1.4
• Class number: $1$
• Dimension: $2$
• Determinant: $21$
• Level: $42$

Lattice Invariants

Dimension:

$2$

Determinant:

$21$

Level:

$42$

Density:

$0.856939651059071921652897864856\dots$

Group order:

$4$

Hermite number:

$1.09108945117996190633048742708\dots$

Minimal vector length:

$5$

Kissing number:

$4$

Normalized minimal vectors:

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

Download this list for gp, magma, sage

Theta Series

Gram Matrix

$\left(\begin{array}{rr} 5 & 2 \\ 2 & 5 \end{array}\right)$

Genus Structure

Genus representatives:

Class number:	$1$
$\left(\begin{array}{rr} 5 & 2 \\ 2 & 5 \end{array}\right)$
	Download this matrix for gp, magma, sage