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: | $7, 12, 15$ |
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.
5.48-49.0.2-6-6.4.1
| (1,26) (2,25) (3,28) (4,27) (5,30) (6,29) (7,32) (8,31) (9,34) (10,33) (11,36) (12,35) (13,38) (14,37) (15,40) (16,39) (17,42) (18,41) (19,44) (20,43) (21,46) (22,45) (23,48) (24,47) | |
| (1,21,5,13,9,17) (2,23,8,14,11,20) (3,24,6,15,12,18) (4,22,7,16,10,19) (25,45,29,37,33,41) (26,47,32,38,35,44) (27,48,30,39,36,42) (28,46,31,40,34,43) | |
| (1,42,11,37,6,47) (2,43,9,38,7,45) (3,41,10,39,5,46) (4,44,12,40,8,48) (13,30,23,25,18,35) (14,31,21,26,19,33) (15,29,22,27,17,34) (16,32,24,28,20,36) |