Properties

Label 2.25.50.1.2
Class number 1
Dimension 2
Determinant 25
Level 50

Learn more about

Lattice Invariants

Dimension:$2$
Determinant:$25$
Level:$50$
Label:$2.25.50.1.2$
Density:$0.314159265358979323846264338328\dots$
Group order:$4$
Hermite number:$0.400000000000000000000000000000\dots$
Minimal vector length:$2$
Kissing number:$2$
Normalized minimal vectors: $(1, 0)$
Download this vector for gp, magma, sage

Theta Series

\(1 \) \(\mathstrut +\mathstrut 2q^{2} \) \(\mathstrut +\mathstrut 2q^{8} \) \(\mathstrut +\mathstrut 4q^{13} \) \(\mathstrut +\mathstrut 4q^{17} \) \(\mathstrut +\mathstrut 2q^{18} \) \(\mathstrut +\mathstrut O(q^{21}) \)

Gram Matrix

$\left(\begin{array}{rr} 2 & -1 \\ -1 & 13 \end{array}\right)$

Genus Structure

Class number:$1$
 
Genus representatives: $\left(\begin{array}{rr} 2 & 1 \\ 1 & 13 \end{array}\right)$
Download this matrix for gp, magma, sage