Family of genus 12 curves with automorphism group $C_7\times D_4$

• Label: 12.56-9.0.2-14-28
• Genus: \(12\)
• Quotient genus: \(0\)
• Group: \(C_7\times D_4\)
• Signature: \([ 0; 2, 14, 28 ]\)

Family Information

Genus:	$12$
Dimension of the family:	$0$

Cover

Quotient genus:	$0$
Number of branch points:	$3$
Signature:	$[ 0; 2, 14, 28 ]$

Group

Name:	$C_7\times D_4$
Identifier:	$[56,9]$

Conjugacy class(es) of Refined passports

Refined passport label	Lists of conjugacy classes
12.56-9.0.2-14-28.1	3, 24, 35
12.56-9.0.2-14-28.2	3, 25, 34
12.56-9.0.2-14-28.3	3, 26, 33
12.56-9.0.2-14-28.4	3, 27, 32
12.56-9.0.2-14-28.5	3, 28, 31
12.56-9.0.2-14-28.6	3, 29, 30
12.56-9.0.2-14-28.7	4, 18, 35
12.56-9.0.2-14-28.8	4, 19, 34
12.56-9.0.2-14-28.9	4, 20, 33
12.56-9.0.2-14-28.10	4, 21, 32
12.56-9.0.2-14-28.11	4, 22, 31
12.56-9.0.2-14-28.12	4, 23, 30