↑

Properties

Label 2.5.10.1.2
Class number $1$
Dimension $2$
Determinant $5$
Level $10$

Downloads

Learn more

Lattice Invariants

Dimension:$2$
Determinant:$5$
Level:$10$
Density:$0.702481473104072639315637464320\dots$
Group order:$4$
Hermite number:$0.894427190999915878563669467492\dots$
Minimal vector length:$2$
Kissing number:$2$
Normalized minimal vectors: $(1, 0)$
Download this vector for gp, magma, sage

Theta Series

\(1 \) \(\mathstrut +\mathstrut 2 q^{2} \) \(\mathstrut +\mathstrut 4 q^{3} \) \(\mathstrut +\mathstrut 4 q^{7} \) \(\mathstrut +\mathstrut 2 q^{8} \) \(\mathstrut +\mathstrut 2 q^{10} \) \(\mathstrut +\mathstrut 4 q^{12} \) \(\mathstrut +\mathstrut 4 q^{15} \) \(\mathstrut +\mathstrut 6 q^{18} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rr} 2 & 1 \\ 1 & 3 \end{array}\right)$

Genus Structure

Genus representatives:
Class number:$1$
 
$\left(\begin{array}{rr} 2 & 1 \\ 1 & 3 \end{array}\right)$
Download this matrix for gp, magma, sage