Family Information
| Genus: | $7$ |
| Quotient genus: | $0$ |
| Group name: | $C_2\times A_4$ |
| Group identifier: | $[24,13]$ |
| Signature: | $[ 0; 2, 2, 3, 6 ]$ |
| Conjugacy classes for this refined passport: | $2, 3, 6, 7$ |
| Jacobian variety group algebra decomposition: | $E\times A_{2}^{3}$ |
| Corresponding character(s): | $4, 8$ |
Other Data
| Hyperelliptic curve(s): | yes |
| Hyperelliptic involution: | (1,13) (2,14) (3,15) (4,16) (5,17) (6,18) (7,19) (8,20) (9,21) (10,22) (11,23) (12,24) |
| Cyclic trigonal curve(s): | no |
| Equation(s) of curve(s) in this refined passport: |
| $y^2=(x^4+2i\\sqrt{3}x^2+1)(x^{12}-a_{1}x^{10}-33x^8+2a_{1}x^6-33x^4-a_{1}x^2+1)$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
7.24-13.0.2-2-3-6.2.1
| (1,13) (2,14) (3,15) (4,16) (5,17) (6,18) (7,19) (8,20) (9,21) (10,22) (11,23) (12,24) | |
| (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) (17,18) (19,20) (21,22) (23,24) | |
| (1,9,5) (2,11,8) (3,12,6) (4,10,7) (13,21,17) (14,23,20) (15,24,18) (16,22,19) | |
| (1,18,11,13,6,23) (2,19,9,14,7,21) (3,17,10,15,5,22) (4,20,12,16,8,24) |