Family Information
| Genus: | $4$ |
| Quotient genus: | $0$ |
| Group name: | $\SL(2,3)$ |
| Group identifier: | $[24,3]$ |
| Signature: | $[ 0; 3, 4, 6 ]$ |
| Conjugacy classes for this refined passport: | $4, 5, 6$ |
| Jacobian variety group algebra decomposition: | $A_{2}\times E^{2}$ |
| Corresponding character(s): | $4, 5$ |
Other Data
| Hyperelliptic curve(s): | yes |
| Hyperelliptic involution: | (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) (17,18) (19,20) (21,22) (23,24) |
| Cyclic trigonal curve(s): | no |
| Equation(s) of curve(s) in this refined passport: |
| $y^2=x(x^4-1)(x^4+2i\\sqrt{3}x^2+1)$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
4.24-3.0.3-4-6.2.1
| (1,17,9) (2,18,10) (3,21,15) (4,22,16) (5,23,11) (6,24,12) (7,19,13) (8,20,14) | |
| (1,3,2,4) (5,7,6,8) (9,11,10,12) (13,15,14,16) (17,19,18,20) (21,23,22,24) | |
| (1,16,20,2,15,19) (3,9,24,4,10,23) (5,14,21,6,13,22) (7,11,17,8,12,18) |