Family of higher genus curves with automorphisms search results

Results (4 matches)

 

Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Cyclic trigonal	Generating vectors
6.12-4.0.2-2-2-2-6.1	$6$	$0$	$D_6$	$12$	$2$	$[ 0; 2, 2, 2, 2, 6 ]$	✓		$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
6.12-4.0.2-2-2-3-3.1	$6$	$0$	$D_6$	$12$	$2$	$[ 0; 2, 2, 2, 3, 3 ]$		✓	$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
6.12-4.0.2-2-2-2-6.2	$6$	$0$	$D_6$	$12$	$2$	$[ 0; 2, 2, 2, 2, 6 ]$			$(1,7)(2,9)(3,8)(4,10)(5,12)(6,11),\ldots$
6.12-4.0.2-2-2-2-6.3	$6$	$0$	$D_6$	$12$	$2$	$[ 0; 2, 2, 2, 2, 6 ]$			$(1,7)(2,9)(3,8)(4,10)(5,12)(6,11),\ldots$