Properties

Label 2.6.12.1.1
Class number 1
Dimension 2
Determinant 6
Level 12

Learn more about

Lattice Invariants

Dimension:$2$
Determinant:$6$
Level:$12$
Label:$2.6.12.1.1$
Density:$0.320637457540466023886009089918\dots$
Group order:$4$
Hermite number:$0.408248290463863016366214012451\dots$
Minimal vector length:$1$
Kissing number:$2$
Normalized minimal vectors: $(1, 0)$
Download this vector for gp, magma, sage

Theta Series

\(1 \) \(\mathstrut +\mathstrut 2q \) \(\mathstrut +\mathstrut 2q^{4} \) \(\mathstrut +\mathstrut 2q^{6} \) \(\mathstrut +\mathstrut 4q^{7} \) \(\mathstrut +\mathstrut 2q^{9} \) \(\mathstrut +\mathstrut 4q^{10} \) \(\mathstrut +\mathstrut 4q^{15} \) \(\mathstrut +\mathstrut 2q^{16} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rr} 1 & 0 \\ 0 & 6 \end{array}\right)$

Genus Structure

Class number:$1$
 
Genus representatives: $\left(\begin{array}{rr} 1 & 0 \\ 0 & 6 \end{array}\right)$
Download this matrix for gp, magma, sage