# Properties

 Label 2.7.7.1.1 Class number 1 Dimension 2 Determinant 7 Level 7

## Lattice Invariants

Dimension:$2$
Determinant:$7$
Level:$7$
Label:$2.7.7.1.1$
Density:$0.593705205861862974392312648974\dots$
Group order:$4$
Hermite number:$0.755928946018454454429033072468\dots$
Minimal vector length:$2$
Kissing number:$2$
Normalized minimal vectors: $(1, 0)$
$$1$$ $$\mathstrut +\mathstrut 2q^{2}$$ $$\mathstrut +\mathstrut 4q^{4}$$ $$\mathstrut +\mathstrut 6q^{8}$$ $$\mathstrut +\mathstrut 2q^{14}$$ $$\mathstrut +\mathstrut 8q^{16}$$ $$\mathstrut +\mathstrut 2q^{18}$$ $$\mathstrut +\mathstrut O(q^{21})$$
$\left(\begin{array}{rr} 2 & 1 \\ 1 & 4 \end{array}\right)$
 Class number: $1$ Genus representatives: $\left(\begin{array}{rr} 2 & 1 \\ 1 & 4 \end{array}\right)$ Download this matrix for gp, magma, sage