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: | $3, 20, 21$ |
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.
5.24-9.0.2-12-12.4.1
| (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24) | |
| (1,18,4,13,5,16,2,17,3,14,6,15) (7,24,10,19,11,22,8,23,9,20,12,21) | |
| (1,21,6,20,3,23,2,22,5,19,4,24) (7,15,12,14,9,17,8,16,11,13,10,18) |