Family Information
| Genus: | $2$ |
| Quotient genus: | $0$ |
| Group name: | $C_3:C_4$ |
| Group identifier: | $[12,1]$ |
| Signature: | $[ 0; 3, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $3, 4, 5$ |
The full automorphism group for this family is $C_3:D_4$ with signature $[ 0; 2, 4, 6 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}$ |
| Corresponding character(s): | $5$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
2.12-1.0.3-4-4.1.1
| (1,2,3) (4,5,6) (7,8,9) (10,11,12) | |
| (1,7,4,10) (2,9,5,12) (3,8,6,11) | |
| (1,12,4,9) (2,11,5,8) (3,10,6,7) |