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: | $3, 19, 22$ |
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.
5.24-9.0.2-12-12.3.1
| (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24) | |
| (1,16,6,13,3,18,2,15,5,14,4,17) (7,22,12,19,9,24,8,21,11,20,10,23) | |
| (1,23,4,20,5,21,2,24,3,19,6,22) (7,17,10,14,11,15,8,18,9,13,12,16) |