Family Information
Genus: | $15$ |
Quotient genus: | $0$ |
Group name: | $C_2^3$ |
Group identifier: | $[8,5]$ |
Signature: | $[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$ |
Conjugacy classes for this refined passport: | $3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 8$ |
Other Data
| $y^2=(x^{4}+a_{1}x^{2}+1)(x^{4}+a_{2}x^{2}+1)(x^{4}+a_{3}x^{2}+1)(x^{4}+a_{4}x^{2}+1)(x^{4}+a_{5}x^{2}+1)(x^{4}+a_{6}x^{2}+1)(x^{4}+a_{7}x^{2}+1)(x^{4}+a_{8}x^{2}+1)$ |
Displaying the unique generating vector for this refined passport.
15.8-5.0.2-2-2-2-2-2-2-2-2-2-2.1155.1
| (1,3) (2,4) (5,7) (6,8) |
| (1,4) (2,3) (5,8) (6,7) |
| (1,4) (2,3) (5,8) (6,7) |
| (1,4) (2,3) (5,8) (6,7) |
| (1,4) (2,3) (5,8) (6,7) |
| (1,4) (2,3) (5,8) (6,7) |
| (1,4) (2,3) (5,8) (6,7) |
| (1,4) (2,3) (5,8) (6,7) |
| (1,4) (2,3) (5,8) (6,7) |
| (1,6) (2,5) (3,8) (4,7) |
| (1,8) (2,7) (3,6) (4,5) |