Family Information
| Genus: | $4$ |
| Quotient genus: | $0$ |
| Group name: | $C_3\times D_4$ |
| Group identifier: | $[24,10]$ |
| Signature: | $[ 0; 2, 6, 12 ]$ |
| Conjugacy classes for this refined passport: | $3, 12, 15$ |
The full automorphism group for this family is $C_3\times S_4$ with signature $[ 0; 2, 3, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times E^{2}$ |
| Corresponding character(s): | $5, 10, 14$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
4.24-10.0.2-6-12.1.1
| (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24) | |
| (1,15,5,13,3,17) (2,16,6,14,4,18) (7,22,11,20,9,24) (8,21,12,19,10,23) | |
| (1,23,4,20,5,21,2,24,3,19,6,22) (7,18,10,13,11,16,8,17,9,14,12,15) |