Integral lattice 2.5005.10010.1.2

• Label: 2.5005.10010.1.2
• Class number: $1$
• Dimension: $2$
• Determinant: $5005$
• Level: $10010$

Lattice Invariants

Dimension:

$2$

Determinant:

$5005$

Level:

$10010$

Density:

$0.510676263559068197057586216110\dots$

Group order:

$2$

Hermite number:

$0.650213213321001941958179628715\dots$

Minimal vector length:

$46$

Kissing number:

$2$

Normalized minimal vectors:

$(1, 0)$

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Theta Series

Gram Matrix

$\left(\begin{array}{rr} 46 & 3 \\ 3 & 109 \end{array}\right)$

Genus Structure

Genus representatives:

Class number:	$1$
$\left(\begin{array}{rr} 46 & 3 \\ 3 & 109 \end{array}\right)$
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