LMFDB - Family of higher genus curves with automorphisms search results

Note: Search results may be incomplete due to uncomputed quantities: cyclic_trigonal (6913 objects)

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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 (1-50 of 84 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Cyclic trigonal	Generating vectors
7.3-1.0.3-3-3-3-3-3-3-3-3.1	$7$	$0$	$C_3$	$3$	$6$	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$	✓	$(1,2,3),\ldots$
7.3-1.0.3-3-3-3-3-3-3-3-3.3	$7$	$0$	$C_3$	$3$	$6$	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$	✓	$(1,2,3),\ldots$
7.3-1.0.3-3-3-3-3-3-3-3-3.2	$7$	$0$	$C_3$	$3$	$6$	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$	✓	$(1,2,3),\ldots$
7.3-1.0.3-3-3-3-3-3-3-3-3.4	$7$	$0$	$C_3$	$3$	$6$	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$	✓	$(1,3,2),\ldots$
7.6-2.0.2-3-3-3-3-6.1	$7$	$0$	$C_6$	$6$	$3$	$[ 0; 2, 3, 3, 3, 3, 6 ]$	✓	$(1,4)(2,5)(3,6),\ldots$
7.6-2.0.2-3-3-3-3-6.3	$7$	$0$	$C_6$	$6$	$3$	$[ 0; 2, 3, 3, 3, 3, 6 ]$	✓	$(1,4)(2,5)(3,6),\ldots$
7.6-2.0.2-3-3-3-3-6.4	$7$	$0$	$C_6$	$6$	$3$	$[ 0; 2, 3, 3, 3, 3, 6 ]$	✓	$(1,4)(2,5)(3,6),\ldots$
7.6-2.0.2-3-3-3-3-6.2	$7$	$0$	$C_6$	$6$	$3$	$[ 0; 2, 3, 3, 3, 3, 6 ]$	✓	$(1,4)(2,5)(3,6),\ldots$
7.9-2.0.3-3-3-3-3.24	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
7.9-2.0.3-3-3-3-3.26	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
7.9-2.0.3-3-3-3-3.28	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
7.9-2.0.3-3-3-3-3.33	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
7.9-2.0.3-3-3-3-3.34	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
7.9-2.0.3-3-3-3-3.36	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,3,2)(4,6,5)(7,9,8),\ldots$
7.9-2.0.3-3-3-3-3.45	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,3,2)(4,6,5)(7,9,8),\ldots$
7.9-2.0.3-3-3-3-3.50	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,3,2)(4,6,5)(7,9,8),\ldots$
7.9-2.0.3-3-3-3-3.55	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,3,2)(4,6,5)(7,9,8),\ldots$
7.9-2.0.3-3-3-3-3.57	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,4,7)(2,5,8)(3,6,9),\ldots$
7.9-2.0.3-3-3-3-3.58	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,4,7)(2,5,8)(3,6,9),\ldots$
7.9-2.0.3-3-3-3-3.62	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,4,7)(2,5,8)(3,6,9),\ldots$
7.9-2.0.3-3-3-3-3.64	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,4,7)(2,5,8)(3,6,9),\ldots$
7.9-2.0.3-3-3-3-3.65	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,4,7)(2,5,8)(3,6,9),\ldots$
7.9-2.0.3-3-3-3-3.66	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,4,7)(2,5,8)(3,6,9),\ldots$
7.9-2.0.3-3-3-3-3.68	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,4,7)(2,5,8)(3,6,9),\ldots$
7.9-2.0.3-3-3-3-3.71	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,7,4)(2,8,5)(3,9,6),\ldots$
7.9-2.0.3-3-3-3-3.75	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,7,4)(2,8,5)(3,9,6),\ldots$
7.9-2.0.3-3-3-3-3.77	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,5,9)(2,6,7)(3,4,8),\ldots$
7.9-2.0.3-3-3-3-3.78	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,5,9)(2,6,7)(3,4,8),\ldots$
7.9-2.0.3-3-3-3-3.79	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,5,9)(2,6,7)(3,4,8),\ldots$
7.9-2.0.3-3-3-3-3.80	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,9,5)(2,7,6)(3,8,4),\ldots$
7.9-2.0.3-3-3-3-3.37	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,3,2)(4,6,5)(7,9,8),\ldots$
7.9-2.0.3-3-3-3-3.2	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
7.9-2.0.3-3-3-3-3.4	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
7.9-2.0.3-3-3-3-3.5	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
7.9-2.0.3-3-3-3-3.14	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
7.9-2.0.3-3-3-3-3.16	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
7.9-2.0.3-3-3-3-3.21	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
7.9-2.0.3-3-3-3-3.23	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
7.9-2.0.3-3-3-3-3.1	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
7.9-2.0.3-3-3-3-3.63	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,4,7)(2,5,8)(3,6,9),\ldots$
7.9-2.0.3-3-3-3-3.67	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,4,7)(2,5,8)(3,6,9),\ldots$
7.9-2.0.3-3-3-3-3.70	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,7,4)(2,8,5)(3,9,6),\ldots$
7.9-2.0.3-3-3-3-3.76	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,7,4)(2,8,5)(3,9,6),\ldots$
7.9-2.0.3-3-3-3-3.47	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,3,2)(4,6,5)(7,9,8),\ldots$
7.9-2.0.3-3-3-3-3.52	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,3,2)(4,6,5)(7,9,8),\ldots$
7.9-2.0.3-3-3-3-3.3	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
7.9-2.0.3-3-3-3-3.6	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
7.9-2.0.3-3-3-3-3.13	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$
7.9-2.0.3-3-3-3-3.56	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,3,2)(4,6,5)(7,9,8),\ldots$
7.9-2.0.3-3-3-3-3.15	$7$	$0$	$C_3^2$	$9$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$	✓	$(1,2,3)(4,5,6)(7,8,9),\ldots$

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Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.