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
8.6-1.0.2-2-3-3-3-3-3.1	$8$	$0$	$S_3$	$6$	$4$	$[ 0; 2, 2, 3, 3, 3, 3, 3 ]$		✓	$(1,4)(2,6)(3,5),\ldots$
8.6-1.0.2-2-2-2-2-2-3-3.1	$8$	$0$	$S_3$	$6$	$5$	$[ 0; 2, 2, 2, 2, 2, 2, 3, 3 ]$			$(1,4)(2,6)(3,5),\ldots$