↑

Properties

Label 11.88-4.0.2-4-44.1
Genus \(11\)
Quotient genus \(0\)
Group \(C_4\times D_{11}\)
Signature \([ 0; 2, 4, 44 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

Family Information

Genus: $11$
Quotient genus: $0$
Group name: $C_4\times D_{11}$
Group identifier: $[88,4]$
Signature: $[ 0; 2, 4, 44 ]$
Conjugacy classes for this refined passport: $3, 7, 20$

Jacobian variety group algebra decomposition:$E\times A_{5}^{2}$
Corresponding character(s): $6, 19$

Other Data

Hyperelliptic curve(s):yes
Hyperelliptic involution: (1,12) (2,13) (3,14) (4,15) (5,16) (6,17) (7,18) (8,19) (9,20) (10,21) (11,22) (23,34) (24,35) (25,36) (26,37) (27,38) (28,39) (29,40) (30,41) (31,42) (32,43) (33,44) (45,56) (46,57) (47,58) (48,59) (49,60) (50,61) (51,62) (52,63) (53,64) (54,65) (55,66) (67,78) (68,79) (69,80) (70,81) (71,82) (72,83) (73,84) (74,85) (75,86) (76,87) (77,88)
Cyclic trigonal curve(s):no

Equation(s) of curve(s) in this refined passport:
  $y^2=x(x^{22}-1)$

Generating vector(s)

Displaying the unique generating vector for this refined passport.

11.88-4.0.2-4-44.1.1

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