Family of higher genus curves with automorphisms search results

Results (3 matches)

 

Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Cyclic trigonal	Generating vectors
4.12-4.0.2-2-3-6.1	$4$	$0$	$D_6$	$12$	$1$	$[ 0; 2, 2, 3, 6 ]$		✓	$(1,7)(2,9)(3,8)(4,10)(5,12)(6,11),\ldots$
4.12-4.0.2-2-2-2-2.2	$4$	$0$	$D_6$	$12$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$			$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
4.12-4.0.2-2-2-2-2.1	$4$	$0$	$D_6$	$12$	$2$	$[ 0; 2, 2, 2, 2, 2 ]$			$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$