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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 (19 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Cyclic trigonal	Generating vectors
2.2-1.0.2-2-2-2-2-2.1	$2$	$0$	$C_2$	$2$	$3$	$[ 0; 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2),\ldots$
2.2-1.1.2-2.1	$2$	$1$	$C_2$	$2$	$2$	$[ 1; 2, 2 ]$			$(1,2),\ldots$
3.2-1.0.2-2-2-2-2-2-2-2.1	$3$	$0$	$C_2$	$2$	$5$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2),\ldots$
3.2-1.1.2-2-2-2.1	$3$	$1$	$C_2$	$2$	$4$	$[ 1; 2, 2, 2, 2 ]$			$(1,2),\ldots$
3.2-1.2.0.1	$3$	$2$	$C_2$	$2$	$3$	$[ 2; -]$			$(1,2),\ldots$
4.2-1.0.2-2-2-2-2-2-2-2-2-2.1	$4$	$0$	$C_2$	$2$	$7$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2),\ldots$
4.2-1.1.2-2-2-2-2-2.1	$4$	$1$	$C_2$	$2$	$6$	$[ 1; 2, 2, 2, 2, 2, 2 ]$			$(1,2),\ldots$
4.2-1.2.2-2.1	$4$	$2$	$C_2$	$2$	$5$	$[ 2; 2, 2 ]$			$(1,2),\ldots$
5.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2.1	$5$	$0$	$C_2$	$2$	$9$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2),\ldots$
6.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	$6$	$0$	$C_2$	$2$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2),\ldots$
7.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	$7$	$0$	$C_2$	$2$	$13$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2),\ldots$
8.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	$8$	$0$	$C_2$	$2$	$15$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2),\ldots$
9.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	$9$	$0$	$C_2$	$2$	$17$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2),\ldots$
10.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	$10$	$0$	$C_2$	$2$	$19$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2),\ldots$
11.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	$11$	$0$	$C_2$	$2$	$21$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2),\ldots$
12.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	$12$	$0$	$C_2$	$2$	$23$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2),\ldots$
13.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	$13$	$0$	$C_2$	$2$	$25$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2),\ldots$
14.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	$14$	$0$	$C_2$	$2$	$27$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2),\ldots$
15.2-1.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	$15$	$0$	$C_2$	$2$	$29$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓		$(1,2),\ldots$

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