Family of genus 5 curves with automorphism group $C_2\times A_5$

• Label: 5.120-35.0.2-3-10
• Genus: \(5\)
• Quotient genus: \(0\)
• Group: \(C_2\times A_5\)
• Signature: \([ 0; 2, 3, 10 ]\)

Family Information

Genus:	$5$
Dimension of the family:	$0$

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 2, 3, 10 ]$

Group

Name:	$C_2\times A_5$
Identifier:	$[120,35]$

Conjugacy class(es) of Refined passports

Refined passport label	Conjugacy classes
5.120-35.0.2-3-10.1	3, 5, 9
5.120-35.0.2-3-10.2	3, 5, 10

Displaying the representative for the unique action up to topological equivalence.

5.120-35.0.2-3-10.1.1

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