Family Information
Genus: | $13$ |
Quotient genus: | $0$ |
Group name: | $C_4$ |
Group identifier: | $[4,1]$ |
Signature: | $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$ |
Conjugacy classes for this refined passport: | $2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3$ |
Other Data
| $y^2=x(x^{26}+a_{1}x^{24}+a_{2}x^{22}+a_{3}x^{20}+a_{4}x^{18}+a_{5}x^{16}+a_{6}x^{14}+a_{7}x^{12}+a_{8}x^{10}+a_{9}x^{8}+a_{10}x^{6}+a_{11}x^{4}+a_{12}x^{2}+1)$ |
Displaying the unique generating vector for this refined passport.
13.4-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-4-4.1.1
| (1,2) (3,4) |
| (1,2) (3,4) |
| (1,2) (3,4) |
| (1,2) (3,4) |
| (1,2) (3,4) |
| (1,2) (3,4) |
| (1,2) (3,4) |
| (1,2) (3,4) |
| (1,2) (3,4) |
| (1,2) (3,4) |
| (1,2) (3,4) |
| (1,2) (3,4) |
| (1,2) (3,4) |
| (1,3,2,4) |
| (1,3,2,4) |