Integral lattice 2.5005.10010.1.5

• Label: 2.5005.10010.1.5
• Class number: $1$
• Dimension: $2$
• Determinant: $5005$
• Level: $10010$

Lattice Invariants

Dimension:

$2$

Determinant:

$5005$

Level:

$10010$

Density:

$0.410761342427946158502841086871\dots$

Group order:

$2$

Hermite number:

$0.522997584627762431575057527445\dots$

Minimal vector length:

$37$

Kissing number:

$2$

Normalized minimal vectors:

$(1, 0)$

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Theta Series

Gram Matrix

$\left(\begin{array}{rr} 37 & 8 \\ 8 & 137 \end{array}\right)$

Genus Structure

Genus representatives:

Class number:	$1$
$\left(\begin{array}{rr} 37 & 8 \\ 8 & 137 \end{array}\right)$
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