Properties

Label 7.144-127.0.2-3-12.3
Genus \(7\)
Quotient genus \(0\)
Group \(\SL(2,3):S_3\)
Signature \([ 0; 2, 3, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $7$
Quotient genus: $0$
Group name: $\SL(2,3):S_3$
Group identifier: $[144,127]$
Signature: $[ 0; 2, 3, 12 ]$
Conjugacy classes for this refined passport: $3, 8, 18$

Jacobian variety group algebra decomposition:$E\times E^{2}\times E^{4}$
Corresponding character(s): $4, 10, 19$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

7.144-127.0.2-3-12.3.1

  (1,79) (2,80) (3,83) (4,84) (5,81) (6,82) (7,74) (8,73) (9,78) (10,77) (11,76) (12,75) (13,91) (14,92) (15,95) (16,96) (17,93) (18,94) (19,86) (20,85) (21,90) (22,89) (23,88) (24,87) (25,103) (26,104) (27,107) (28,108) (29,105) (30,106) (31,98) (32,97) (33,102) (34,101) (35,100) (36,99) (37,115) (38,116) (39,119) (40,120) (41,117) (42,118) (43,110) (44,109) (45,114) (46,113) (47,112) (48,111) (49,127) (50,128) (51,131) (52,132) (53,129) (54,130) (55,122) (56,121) (57,126) (58,125) (59,124) (60,123) (61,139) (62,140) (63,143) (64,144) (65,141) (66,142) (67,134) (68,133) (69,138) (70,137) (71,136) (72,135)
  (1,71,34) (2,72,33) (3,67,36) (4,68,35) (5,69,32) (6,70,31) (7,54,46) (8,53,45) (9,50,48) (10,49,47) (11,52,44) (12,51,43) (13,65,39) (14,66,40) (15,61,41) (16,62,42) (17,63,37) (18,64,38) (19,60,27) (20,59,28) (21,56,29) (22,55,30) (23,58,25) (24,57,26) (73,143,106) (74,144,105) (75,139,108) (76,140,107) (77,141,104) (78,142,103) (79,126,118) (80,125,117) (81,122,120) (82,121,119) (83,124,116) (84,123,115) (85,137,111) (86,138,112) (87,133,113) (88,134,114) (89,135,109) (90,136,110) (91,132,99) (92,131,100) (93,128,101) (94,127,102) (95,130,97) (96,129,98)
  (1,101,50,78,25,125,2,102,49,77,26,126) (3,99,52,76,27,123,4,100,51,75,28,124) (5,97,54,74,29,121,6,98,53,73,30,122) (7,113,68,84,37,143,8,114,67,83,38,144) (9,111,70,82,39,141,10,112,69,81,40,142) (11,109,72,80,41,139,12,110,71,79,42,140) (13,119,56,90,43,131,14,120,55,89,44,132) (15,117,58,88,45,129,16,118,57,87,46,130) (17,115,60,86,47,127,18,116,59,85,48,128) (19,107,62,96,31,137,20,108,61,95,32,138) (21,105,64,94,33,135,22,106,63,93,34,136) (23,103,66,92,35,133,24,104,65,91,36,134)