Family of higher genus curves with automorphisms search results

Results (32 matches)

 

Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Cyclic trigonal	Generating vectors
2.6-1.0.2-2-3-3.1	$2$	$0$	$S_3$	$6$	$1$	$[ 0; 2, 2, 3, 3 ]$			$(1,4)(2,6)(3,5),\ldots$
3.6-1.0.2-2-2-2-3.1	$3$	$0$	$S_3$	$6$	$2$	$[ 0; 2, 2, 2, 2, 3 ]$			$(1,4)(2,6)(3,5),\ldots$
3.6-1.1.3.1	$3$	$1$	$S_3$	$6$	$1$	$[ 1; 3 ]$			$(1,4)(2,6)(3,5),\ldots$
4.6-1.0.2-2-3-3-3.1	$4$	$0$	$S_3$	$6$	$2$	$[ 0; 2, 2, 3, 3, 3 ]$		✓	$(1,4)(2,6)(3,5),\ldots$
4.6-1.0.2-2-2-2-2-2.1	$4$	$0$	$S_3$	$6$	$3$	$[ 0; 2, 2, 2, 2, 2, 2 ]$			$(1,4)(2,6)(3,5),\ldots$
4.6-1.1.2-2.1	$4$	$1$	$S_3$	$6$	$2$	$[ 1; 2, 2 ]$			$(1,2,3)(4,5,6),\ldots$
5.6-1.0.2-2-2-2-3-3.1	$5$	$0$	$S_3$	$6$	$3$	$[ 0; 2, 2, 2, 2, 3, 3 ]$			$(1,4)(2,6)(3,5),\ldots$
6.6-1.0.2-2-3-3-3-3.1	$6$	$0$	$S_3$	$6$	$3$	$[ 0; 2, 2, 3, 3, 3, 3 ]$		✓	$(1,4)(2,6)(3,5),\ldots$
6.6-1.0.2-2-2-2-2-2-3.1	$6$	$0$	$S_3$	$6$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 3 ]$			$(1,4)(2,6)(3,5),\ldots$
7.6-1.0.2-2-2-2-3-3-3.1	$7$	$0$	$S_3$	$6$	$4$	$[ 0; 2, 2, 2, 2, 3, 3, 3 ]$			$(1,4)(2,6)(3,5),\ldots$
7.6-1.0.2-2-2-2-2-2-2-2.1	$7$	$0$	$S_3$	$6$	$5$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]$			$(1,4)(2,6)(3,5),\ldots$
8.6-1.0.2-2-3-3-3-3-3.1	$8$	$0$	$S_3$	$6$	$4$	$[ 0; 2, 2, 3, 3, 3, 3, 3 ]$		✓	$(1,4)(2,6)(3,5),\ldots$
8.6-1.0.2-2-2-2-2-2-3-3.1	$8$	$0$	$S_3$	$6$	$5$	$[ 0; 2, 2, 2, 2, 2, 2, 3, 3 ]$			$(1,4)(2,6)(3,5),\ldots$
9.6-1.0.2-2-2-2-3-3-3-3.1	$9$	$0$	$S_3$	$6$	$5$	$[ 0; 2, 2, 2, 2, 3, 3, 3, 3 ]$			$(1,4)(2,6)(3,5),\ldots$
9.6-1.0.2-2-2-2-2-2-2-2-3.1	$9$	$0$	$S_3$	$6$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 3 ]$			$(1,4)(2,6)(3,5),\ldots$
10.6-1.0.2-2-3-3-3-3-3-3.1	$10$	$0$	$S_3$	$6$	$5$	$[ 0; 2, 2, 3, 3, 3, 3, 3, 3 ]$		✓	$(1,4)(2,6)(3,5),\ldots$
10.6-1.0.2-2-2-2-2-2-3-3-3.1	$10$	$0$	$S_3$	$6$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 3, 3, 3 ]$			$(1,4)(2,6)(3,5),\ldots$
10.6-1.0.2-2-2-2-2-2-2-2-2-2.1	$10$	$0$	$S_3$	$6$	$7$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$			$(1,4)(2,6)(3,5),\ldots$
11.6-1.0.2-2-2-2-3-3-3-3-3.1	$11$	$0$	$S_3$	$6$	$6$	$[ 0; 2, 2, 2, 2, 3, 3, 3, 3, 3 ]$			$(1,4)(2,6)(3,5),\ldots$
11.6-1.0.2-2-2-2-2-2-2-2-3-3.1	$11$	$0$	$S_3$	$6$	$7$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 3, 3 ]$			$(1,4)(2,6)(3,5),\ldots$
12.6-1.0.2-2-3-3-3-3-3-3-3.1	$12$	$0$	$S_3$	$6$	$6$	$[ 0; 2, 2, 3, 3, 3, 3, 3, 3, 3 ]$		✓	$(1,4)(2,6)(3,5),\ldots$
12.6-1.0.2-2-2-2-2-2-3-3-3-3.1	$12$	$0$	$S_3$	$6$	$7$	$[ 0; 2, 2, 2, 2, 2, 2, 3, 3, 3, 3 ]$			$(1,4)(2,6)(3,5),\ldots$
12.6-1.0.2-2-2-2-2-2-2-2-2-2-3.1	$12$	$0$	$S_3$	$6$	$8$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3 ]$			$(1,4)(2,6)(3,5),\ldots$
13.6-1.0.2-2-2-2-3-3-3-3-3-3.1	$13$	$0$	$S_3$	$6$	$7$	$[ 0; 2, 2, 2, 2, 3, 3, 3, 3, 3, 3 ]$			$(1,4)(2,6)(3,5),\ldots$
13.6-1.0.2-2-2-2-2-2-2-2-3-3-3.1	$13$	$0$	$S_3$	$6$	$8$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3 ]$			$(1,4)(2,6)(3,5),\ldots$
13.6-1.0.2-2-2-2-2-2-2-2-2-2-2-2.1	$13$	$0$	$S_3$	$6$	$9$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$			$(1,4)(2,6)(3,5),\ldots$
14.6-1.0.2-2-3-3-3-3-3-3-3-3.1	$14$	$0$	$S_3$	$6$	$7$	$[ 0; 2, 2, 3, 3, 3, 3, 3, 3, 3, 3 ]$		✓	$(1,4)(2,6)(3,5),\ldots$
14.6-1.0.2-2-2-2-2-2-3-3-3-3-3.1	$14$	$0$	$S_3$	$6$	$8$	$[ 0; 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3 ]$			$(1,4)(2,6)(3,5),\ldots$
14.6-1.0.2-2-2-2-2-2-2-2-2-2-3-3.1	$14$	$0$	$S_3$	$6$	$9$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3 ]$			$(1,4)(2,6)(3,5),\ldots$
15.6-1.0.2-2-2-2-3-3-3-3-3-3-3.1	$15$	$0$	$S_3$	$6$	$8$	$[ 0; 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3 ]$			$(1,4)(2,6)(3,5),\ldots$
15.6-1.0.2-2-2-2-2-2-2-2-3-3-3-3.1	$15$	$0$	$S_3$	$6$	$9$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3 ]$			$(1,4)(2,6)(3,5),\ldots$
15.6-1.0.2-2-2-2-2-2-2-2-2-2-2-2-3.1	$15$	$0$	$S_3$	$6$	$10$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3 ]$			$(1,4)(2,6)(3,5),\ldots$