Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times C_{12}$ |
| Group identifier: | $[24,9]$ |
| Signature: | $[ 0; 2, 12, 12 ]$ |
| Conjugacy classes for this refined passport: | $4, 20, 23$ |
The full automorphism group for this family is $D_6:C_4$ with signature $[ 0; 2, 4, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times E\times A_{2}\times E$ |
| Corresponding character(s): | $4, 10, 12, 14$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.24-9.0.2-12-12.8.1
| (1,8) (2,7) (3,10) (4,9) (5,12) (6,11) (13,20) (14,19) (15,22) (16,21) (17,24) (18,23) | |
| (1,18,4,13,5,16,2,17,3,14,6,15) (7,24,10,19,11,22,8,23,9,20,12,21) | |
| (1,22,6,19,3,24,2,21,5,20,4,23) (7,16,12,13,9,18,8,15,11,14,10,17) |