↑

Properties

Label 2.5.10.1.1
Class number $1$
Dimension $2$
Determinant $5$
Level $10$

Downloads

Learn more

Lattice Invariants

Dimension:$2$
Determinant:$5$
Level:$10$
Density:$0.351240736552036319657818732160\dots$
Group order:$4$
Hermite number:$0.447213595499957939281834733746\dots$
Minimal vector length:$1$
Kissing number:$2$
Normalized minimal vectors: $(1, 0)$
Download this vector for gp, magma, sage

Theta Series

\(1 \) \(\mathstrut +\mathstrut 2 q \) \(\mathstrut +\mathstrut 2 q^{4} \) \(\mathstrut +\mathstrut 2 q^{5} \) \(\mathstrut +\mathstrut 4 q^{6} \) \(\mathstrut +\mathstrut 6 q^{9} \) \(\mathstrut +\mathstrut 4 q^{14} \) \(\mathstrut +\mathstrut 2 q^{16} \) \(\mathstrut +\mathstrut 2 q^{20} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rr} 1 & 0 \\ 0 & 5 \end{array}\right)$

Genus Structure

Genus representatives:
Class number:$1$
 
$\left(\begin{array}{rr} 1 & 0 \\ 0 & 5 \end{array}\right)$
Download this matrix for gp, magma, sage