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
12.24-12.0.2-2-2-3-4.1	$12$	$0$	$S_4$	$24$	$2$	$[ 0; 2, 2, 2, 3, 4 ]$			$(1,2)\cdots(23,24),\ldots$
12.24-12.0.2-2-2-3-4.2	$12$	$0$	$S_4$	$24$	$2$	$[ 0; 2, 2, 2, 3, 4 ]$			$(1,13)\cdots(12,20),\ldots$