Family Information
| Genus: | $3$ |
| Quotient genus: | $0$ |
| Group name: | $C_3:C_4$ |
| Group identifier: | $[12,1]$ |
| Signature: | $[ 0; 4, 4, 6 ]$ |
| Conjugacy classes for this refined passport: | $5, 5, 6$ |
The full automorphism group for this family is $C_4\times S_3$ with signature $[ 0; 2, 4, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}$ |
| Corresponding character(s): | $3, 5$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
3.12-1.0.4-4-6.2.1
| (1,10,4,7) (2,12,5,9) (3,11,6,8) | |
| (1,12,4,9) (2,11,5,8) (3,10,6,7) | |
| (1,5,3,4,2,6) (7,11,9,10,8,12) |