Properties

Label 2.5160.10320.1.1
Class number $1$
Dimension $2$
Determinant $5160$
Level $10320$

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Lattice Invariants

Dimension:$2$
Determinant:$5160$
Level:$10320$
Density:$0.142137405192121376067350435321\dots$
Group order:$2$
Hermite number:$0.180974965076653969860228791432\dots$
Minimal vector length:$13$
Kissing number:$2$
Normalized minimal vectors: $(1, 0)$
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Theta Series

\(1 \) \(\mathstrut +\mathstrut 2 q^{13} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rr} 13 & -1 \\ -1 & 397 \end{array}\right)$

Genus Structure

Genus representatives:
Class number:$1$
 
$\left(\begin{array}{rr} 13 & 1 \\ 1 & 397 \end{array}\right)$
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