Family of higher genus curves with automorphisms search results

Results (23 matches)

 

Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Cyclic trigonal	Generating vectors
13.24-13.0.2-6-6-6.1	$13$	$0$	$C_2\times A_4$	$24$	$1$	$[ 0; 2, 6, 6, 6 ]$			$(1,13)\cdots(12,24),\ldots$
13.24-13.0.2-6-6-6.2	$13$	$0$	$C_2\times A_4$	$24$	$1$	$[ 0; 2, 6, 6, 6 ]$			$(1,13)\cdots(12,24),\ldots$
13.24-13.0.2-6-6-6.3	$13$	$0$	$C_2\times A_4$	$24$	$1$	$[ 0; 2, 6, 6, 6 ]$			$(1,14)\cdots(12,23),\ldots$
13.24-13.0.2-6-6-6.4	$13$	$0$	$C_2\times A_4$	$24$	$1$	$[ 0; 2, 6, 6, 6 ]$			$(1,14)\cdots(12,23),\ldots$
13.24-13.0.3-3-6-6.1	$13$	$0$	$C_2\times A_4$	$24$	$1$	$[ 0; 3, 3, 6, 6 ]$			$(1,5,9)\cdots(16,19,22),\ldots$
13.24-13.0.3-3-6-6.2	$13$	$0$	$C_2\times A_4$	$24$	$1$	$[ 0; 3, 3, 6, 6 ]$			$(1,5,9)\cdots(16,19,22),\ldots$
13.24-13.0.3-3-6-6.3	$13$	$0$	$C_2\times A_4$	$24$	$1$	$[ 0; 3, 3, 6, 6 ]$			$(1,9,5)\cdots(16,22,19),\ldots$
13.24-13.0.2-2-2-3-6.2	$13$	$0$	$C_2\times A_4$	$24$	$2$	$[ 0; 2, 2, 2, 3, 6 ]$	✓		$(1,13)\cdots(12,24),\ldots$
13.24-13.0.2-2-2-3-6.3	$13$	$0$	$C_2\times A_4$	$24$	$2$	$[ 0; 2, 2, 2, 3, 6 ]$			$(1,13)\cdots(12,24),\ldots$
13.24-13.0.2-2-2-3-6.4	$13$	$0$	$C_2\times A_4$	$24$	$2$	$[ 0; 2, 2, 2, 3, 6 ]$			$(1,13)\cdots(12,24),\ldots$
13.24-13.0.2-2-2-3-6.5	$13$	$0$	$C_2\times A_4$	$24$	$2$	$[ 0; 2, 2, 2, 3, 6 ]$			$(1,13)\cdots(12,24),\ldots$
13.24-13.0.2-2-3-3-3.1	$13$	$0$	$C_2\times A_4$	$24$	$2$	$[ 0; 2, 2, 3, 3, 3 ]$			$(1,13)\cdots(12,24),\ldots$
13.24-13.0.2-2-2-3-6.7	$13$	$0$	$C_2\times A_4$	$24$	$2$	$[ 0; 2, 2, 2, 3, 6 ]$			$(1,2)\cdots(23,24),\ldots$
13.24-13.0.2-2-2-3-6.8	$13$	$0$	$C_2\times A_4$	$24$	$2$	$[ 0; 2, 2, 2, 3, 6 ]$			$(1,2)\cdots(23,24),\ldots$
13.24-13.0.2-2-2-3-6.9	$13$	$0$	$C_2\times A_4$	$24$	$2$	$[ 0; 2, 2, 2, 3, 6 ]$			$(1,14)\cdots(12,23),\ldots$
13.24-13.0.2-2-2-3-6.10	$13$	$0$	$C_2\times A_4$	$24$	$2$	$[ 0; 2, 2, 2, 3, 6 ]$			$(1,14)\cdots(12,23),\ldots$
13.24-13.0.2-2-2-3-6.6	$13$	$0$	$C_2\times A_4$	$24$	$2$	$[ 0; 2, 2, 2, 3, 6 ]$			$(1,13)\cdots(12,24),\ldots$
13.24-13.0.2-2-3-3-3.2	$13$	$0$	$C_2\times A_4$	$24$	$2$	$[ 0; 2, 2, 3, 3, 3 ]$			$(1,13)\cdots(12,24),\ldots$
13.24-13.0.2-2-3-3-3.3	$13$	$0$	$C_2\times A_4$	$24$	$2$	$[ 0; 2, 2, 3, 3, 3 ]$			$(1,13)\cdots(12,24),\ldots$
13.24-13.0.2-2-3-3-3.4	$13$	$0$	$C_2\times A_4$	$24$	$2$	$[ 0; 2, 2, 3, 3, 3 ]$			$(1,13)\cdots(12,24),\ldots$
13.24-13.0.2-2-3-3-3.5	$13$	$0$	$C_2\times A_4$	$24$	$2$	$[ 0; 2, 2, 3, 3, 3 ]$			$(1,14)\cdots(12,23),\ldots$
13.24-13.0.2-2-3-3-3.6	$13$	$0$	$C_2\times A_4$	$24$	$2$	$[ 0; 2, 2, 3, 3, 3 ]$			$(1,14)\cdots(12,23),\ldots$
13.24-13.0.2-2-2-3-6.1	$13$	$0$	$C_2\times A_4$	$24$	$2$	$[ 0; 2, 2, 2, 3, 6 ]$	✓		$(1,13)\cdots(12,24),\ldots$