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: | $3, 5, 7$ |
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.
4.24-3.0.3-4-6.1.1
(1,9,17) (2,10,18) (3,15,21) (4,16,22) (5,11,23) (6,12,24) (7,13,19) (8,14,20) | |
(1,4,2,3) (5,8,6,7) (9,12,10,11) (13,16,14,15) (17,20,18,19) (21,24,22,23) | |
(1,21,11,2,22,12) (3,18,14,4,17,13) (5,19,10,6,20,9) (7,24,15,8,23,16) |