Family Information
| Genus: | $11$ |
| Quotient genus: | $0$ |
| Group name: | $\GL(2,3)$ |
| Group identifier: | $[48,29]$ |
| Signature: | $[ 0; 3, 8, 8 ]$ |
| Conjugacy classes for this refined passport: | $4, 7, 7$ |
The full automorphism group for this family is $C_2\times \GL(2,3)$ with signature $[ 0; 2, 6, 8 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}^{2}\times E^{3}\times E^{4}$ |
| Corresponding character(s): | $4, 7, 8$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
11.48-29.0.3-8-8.1.1
| (1,9,17) (2,10,18) (3,15,22) (4,16,21) (5,12,24) (6,11,23) (7,14,19) (8,13,20) (25,33,41) (26,34,42) (27,39,46) (28,40,45) (29,36,48) (30,35,47) (31,38,43) (32,37,44) | |
| (1,27,7,29,2,28,8,30) (3,31,5,26,4,32,6,25) (9,43,15,45,10,44,16,46) (11,47,13,42,12,48,14,41) (17,35,23,37,18,36,24,38) (19,39,21,34,20,40,22,33) | |
| (1,47,6,44,2,48,5,43) (3,41,7,46,4,42,8,45) (9,39,14,36,10,40,13,35) (11,33,15,38,12,34,16,37) (17,31,22,28,18,32,21,27) (19,25,23,30,20,26,24,29) |