Properties

Label 2.11.11.1.1
Class number 1
Dimension 2
Determinant 11
Level 11

Learn more about

Lattice Invariants

Dimension:$2$
Determinant:$11$
Level:$11$
Label:$2.11.11.1.1$
Density:$0.473612912549741468214817190908\dots$
Group order:$4$
Hermite number:$0.603022689155527245293624133940\dots$
Minimal vector length:$2$
Kissing number:$2$
Normalized minimal vectors: $(1, 0)$
Download this vector for gp, magma, sage

Theta Series

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

Gram Matrix

$\left(\begin{array}{rr} 2 & 1 \\ 1 & 6 \end{array}\right)$

Genus Structure

Class number:$1$
 
Genus representatives: $\left(\begin{array}{rr} 2 & 1 \\ 1 & 6 \end{array}\right)$
Download this matrix for gp, magma, sage