Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(\SL(2,3):C_2\)
Signature \([ 0; 2, 6, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 7
Quotient Genus: 0
Group name: $\SL(2,3):C_2$
Group identifier: [48,33]
Signature: $[ 0; 2, 6, 12 ]$
Conjugacy classes for this refined passport: 3, 9, 12

The full automorphism group for this family is $\SL(2,3):S_3$ with signature $[ 0; 2, 3, 12 ]$.

Jacobian variety group algebra decomposition:$E\times E^{2}\times A_{2}^{2}$
Corresponding character(s): 4, 7, 9

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.48-33.0.2-6-12.1.1

  (1,27) (2,28) (3,26) (4,25) (5,31) (6,32) (7,30) (8,29) (9,35) (10,36) (11,34) (12,33) (13,39) (14,40) (15,38) (16,37) (17,43) (18,44) (19,42) (20,41) (21,47) (22,48) (23,46) (24,45)
  (1,10,17,2,9,18) (3,16,21,4,15,22) (5,12,23,6,11,24) (7,14,19,8,13,20) (25,34,41,26,33,42) (27,40,45,28,39,46) (29,36,47,30,35,48) (31,38,43,32,37,44)
  (1,44,16,26,20,39,2,43,15,25,19,40) (3,48,9,28,24,34,4,47,10,27,23,33) (5,45,14,30,21,37,6,46,13,29,22,38) (7,41,11,32,17,36,8,42,12,31,18,35)