Properties

Genus \(3\)
Quotient Genus \(0\)
Group \(C_4^2:C_3:C_2\)
Signature \([ 0; 2, 3, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 3
Quotient Genus: 0
Group name: $C_4^2:C_3:C_2$
Group identifier: [96,64]
Signature: $[ 0; 2, 3, 8 ]$
Conjugacy classes for this refined passport: 3, 4, 10

Jacobian variety group algebra decomposition:$E^{3}$
Corresponding character(s): 7

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):No

Equation(s) of curve(s) in this refined passport:
  $y^4 = x (x^2-1)$

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

3.96-64.0.2-3-8.2.1

  (1,49) (2,50) (3,52) (4,51) (5,57) (6,58) (7,60) (8,59) (9,53) (10,54) (11,56) (12,55) (13,61) (14,62) (15,64) (16,63) (17,81) (18,82) (19,84) (20,83) (21,89) (22,90) (23,92) (24,91) (25,85) (26,86) (27,88) (28,87) (29,93) (30,94) (31,96) (32,95) (33,65) (34,66) (35,68) (36,67) (37,73) (38,74) (39,76) (40,75) (41,69) (42,70) (43,72) (44,71) (45,77) (46,78) (47,80) (48,79)
  (1,32,38) (2,29,40) (3,31,39) (4,30,37) (5,20,46) (6,17,48) (7,19,47) (8,18,45) (9,26,43) (10,27,41) (11,25,42) (12,28,44) (13,24,34) (14,21,36) (15,23,35) (16,22,33) (49,80,86) (50,77,88) (51,79,87) (52,78,85) (53,68,94) (54,65,96) (55,67,95) (56,66,93) (57,74,91) (58,75,89) (59,73,90) (60,76,92) (61,72,82) (62,69,84) (63,71,83) (64,70,81)
  (1,74,5,78,3,76,7,80) (2,75,6,79,4,73,8,77) (9,72,13,66,11,70,15,68) (10,69,14,67,12,71,16,65) (17,58,21,62,19,60,23,64) (18,59,22,63,20,57,24,61) (25,56,29,50,27,54,31,52) (26,53,30,51,28,55,32,49) (33,90,37,94,35,92,39,96) (34,91,38,95,36,89,40,93) (41,88,45,82,43,86,47,84) (42,85,46,83,44,87,48,81)