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
3.12-4.0.2-2-2-6.2	$3$	$0$	$D_6$	$12$	$1$	$[ 0; 2, 2, 2, 6 ]$	✓		$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
3.12-4.0.2-2-2-6.1	$3$	$0$	$D_6$	$12$	$1$	$[ 0; 2, 2, 2, 6 ]$	✓		$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$