Integral lattice 2.5208.10416.1.7

• Label: 2.5208.10416.1.7
• Class number: $1$
• Dimension: $2$
• Determinant: $5208$
• Level: $10416$

Lattice Invariants

Dimension:

$2$

Determinant:

$5208$

Level:

$10416$

Density:

$0.511507789225205009389990942334\dots$

Group order:

$2$

Hermite number:

$0.651271944681589579776224895624\dots$

Minimal vector length:

$47$

Kissing number:

$2$

Normalized minimal vectors:

$(1, 0)$

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Theta Series

Gram Matrix

$\left(\begin{array}{rr} 47 & -3 \\ -3 & 111 \end{array}\right)$

Genus Structure

Genus representatives:

Class number:	$1$
$\left(\begin{array}{rr} 47 & 3 \\ 3 & 111 \end{array}\right)$
	Download this matrix for gp, magma, sage