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Genus	Dimension of the family	Group order	Hyperelliptic curves	Full automorphism group

Quotient genus	Signature	Group identifier	Cyclic trigonal curves

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Results (11 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Cyclic trigonal	Generating vectors
12.12-4.0.2-2-3-3-3-6.1	$12$	$0$	$D_6$	$12$	$3$	$[ 0; 2, 2, 3, 3, 3, 6 ]$		✓	$(1,7)(2,9)(3,8)(4,10)(5,12)(6,11),\ldots$
12.12-4.0.2-2-2-3-6-6.1	$12$	$0$	$D_6$	$12$	$3$	$[ 0; 2, 2, 2, 3, 6, 6 ]$			$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
12.12-4.0.2-2-2-2-2-3-3.1	$12$	$0$	$D_6$	$12$	$4$	$[ 0; 2, 2, 2, 2, 2, 3, 3 ]$			$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
12.12-4.0.2-2-2-2-2-3-3.2	$12$	$0$	$D_6$	$12$	$4$	$[ 0; 2, 2, 2, 2, 2, 3, 3 ]$			$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
12.12-4.0.2-2-2-2-2-3-3.3	$12$	$0$	$D_6$	$12$	$4$	$[ 0; 2, 2, 2, 2, 2, 3, 3 ]$			$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
12.12-4.0.2-2-2-2-2-2-6.1	$12$	$0$	$D_6$	$12$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 6 ]$	✓		$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
12.12-4.0.2-2-2-2-2-2-6.2	$12$	$0$	$D_6$	$12$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 6 ]$			$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
12.12-4.0.2-2-2-2-2-2-6.3	$12$	$0$	$D_6$	$12$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 6 ]$			$(1,4)(2,5)(3,6)(7,10)(8,11)(9,12),\ldots$
12.12-4.0.2-2-2-2-2-2-6.4	$12$	$0$	$D_6$	$12$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 6 ]$			$(1,7)(2,9)(3,8)(4,10)(5,12)(6,11),\ldots$
12.12-4.0.2-2-2-2-2-2-6.5	$12$	$0$	$D_6$	$12$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 6 ]$			$(1,7)(2,9)(3,8)(4,10)(5,12)(6,11),\ldots$
12.12-4.0.2-2-2-2-2-2-6.6	$12$	$0$	$D_6$	$12$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 6 ]$			$(1,7)(2,9)(3,8)(4,10)(5,12)(6,11),\ldots$

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