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: | $4, 18, 21$ |
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.
5.24-9.0.2-12-12.6.1
| (1,8) (2,7) (3,10) (4,9) (5,12) (6,11) (13,20) (14,19) (15,22) (16,21) (17,24) (18,23) | |
| (1,17,4,14,5,15,2,18,3,13,6,16) (7,23,10,20,11,21,8,24,9,19,12,22) | |
| (1,21,6,20,3,23,2,22,5,19,4,24) (7,15,12,14,9,17,8,16,11,13,10,18) |