Integral lattice 2.5115.5115.1.2

• Label: 2.5115.5115.1.2
• Class number: $1$
• Dimension: $2$
• Determinant: $5115$
• Level: $5115$

Lattice Invariants

Dimension:

$2$

Determinant:

$5115$

Level:

$5115$

Density:

$0.461228731075505926276237654274\dots$

Group order:

$2$

Hermite number:

$0.587254659573353948008772928278\dots$

Minimal vector length:

$42$

Kissing number:

$2$

Normalized minimal vectors:

$(1, 0)$

Download this vector for gp, magma, sage

Theta Series

Gram Matrix

$\left(\begin{array}{rr} 42 & 3 \\ 3 & 122 \end{array}\right)$

Genus Structure

Genus representatives:

Class number:	$1$
$\left(\begin{array}{rr} 42 & 3 \\ 3 & 122 \end{array}\right)$
	Download this matrix for gp, magma, sage