Family of higher genus curves with automorphisms search results

Results (displaying both matches)

 

Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Cyclic trigonal	Generating vectors
6.12-1.0.2-4-4-6.1	$6$	$0$	$C_3:C_4$	$12$	$1$	$[ 0; 2, 4, 4, 6 ]$	✓		$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
6.12-1.0.3-3-4-4.1	$6$	$0$	$C_3:C_4$	$12$	$1$	$[ 0; 3, 3, 4, 4 ]$			$(1,2,3)(4,5,6)(7,8,9)(10,11,12),\ldots$