Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times A_4$ |
| Group identifier: | $[24,13]$ |
| Signature: | $[ 0; 3, 6, 6 ]$ |
| Conjugacy classes for this refined passport: | $5, 7, 7$ |
The full automorphism group for this family is $\GL(2,\mathbb{Z}/4)$ with signature $[ 0; 2, 4, 6 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times E^{3}$ |
| Corresponding character(s): | $3, 4, 8$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.24-13.0.3-6-6.1.1
| (1,5,9) (2,8,11) (3,6,12) (4,7,10) (13,17,21) (14,20,23) (15,18,24) (16,19,22) | |
| (1,19,12,13,7,24) (2,18,10,14,6,22) (3,20,9,15,8,21) (4,17,11,16,5,23) | |
| (1,18,11,13,6,23) (2,19,9,14,7,21) (3,17,10,15,5,22) (4,20,12,16,8,24) |