↑

Properties

Label 2.20.40.1.1
Class number $1$
Dimension $2$
Determinant $20$
Level $40$

Downloads

Learn more

Lattice Invariants

Dimension:$2$
Determinant:$20$
Level:$40$
Density:$0.526861104828054479486728098240\dots$
Group order:$2$
Hermite number:$0.670820393249936908922752100619\dots$
Minimal vector length:$3$
Kissing number:$2$
Normalized minimal vectors: $(1, 0)$
Download this vector for gp, magma, sage

Theta Series

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

Gram Matrix

$\left(\begin{array}{rr} 3 & -1 \\ -1 & 7 \end{array}\right)$

Genus Structure

Genus representatives:
Class number:$1$
 
$\left(\begin{array}{rr} 3 & 1 \\ 1 & 7 \end{array}\right)$
Download this matrix for gp, magma, sage