Family Information
| Genus: | $5$ |
| Quotient genus: | $0$ |
| Group name: | $C_2^2\times A_4$ |
| Group identifier: | $[48,49]$ |
| Signature: | $[ 0; 2, 6, 6 ]$ |
| Conjugacy classes for this refined passport: | $8, 11, 14$ |
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): | $7, 11, 15$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
5.48-49.0.2-6-6.5.1
| (1,38) (2,37) (3,40) (4,39) (5,42) (6,41) (7,44) (8,43) (9,46) (10,45) (11,48) (12,47) (13,26) (14,25) (15,28) (16,27) (17,30) (18,29) (19,32) (20,31) (21,34) (22,33) (23,36) (24,35) | |
| (1,17,9,13,5,21) (2,20,11,14,8,23) (3,18,12,15,6,24) (4,19,10,16,7,22) (25,41,33,37,29,45) (26,44,35,38,32,47) (27,42,36,39,30,48) (28,43,34,40,31,46) | |
| (1,34,8,25,10,32) (2,36,5,26,12,29) (3,35,7,27,11,31) (4,33,6,28,9,30) (13,46,20,37,22,44) (14,48,17,38,24,41) (15,47,19,39,23,43) (16,45,18,40,21,42) |