Family Information
| Genus: | $12$ |
| Quotient genus: | $0$ |
| Group name: | $C_{12}$ |
| Group identifier: | $[12,2]$ |
| Signature: | $[ 0; 2, 2, 2, 2, 12, 12 ]$ |
| Conjugacy classes for this refined passport: | $2, 2, 2, 2, 10, 11$ |
| Jacobian variety group algebra decomposition: | $A_{4}\times A_{8}$ |
Other Data
| Hyperelliptic curve(s): | yes |
| Hyperelliptic involution: | (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) |
| Cyclic trigonal curve(s): | no |
| Equation(s) of curve(s) in this refined passport: |
| $y^2=x(x^{24}+a_{1}x^{18}+a_{2}x^{12}+a_{3}x^{6}+1)$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
12.12-2.0.2-2-2-2-12-12.2.1
| (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) | |
| (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) | |
| (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) | |
| (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) | |
| (1,11,4,8,5,9,2,12,3,7,6,10) | |
| (1,10,6,7,3,12,2,9,5,8,4,11) |