LMFDB - Family of higher genus curves with automorphisms search results

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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 (24 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Generating vectors
10.8-1.0.4-8-8-8-8.1	$10$	$0$	$C_8$	$8$	$2$	$[ 0; 4, 8, 8, 8, 8 ]$		$(1,3,2,4)(5,7,6,8),\ldots$
10.8-1.0.4-8-8-8-8.2	$10$	$0$	$C_8$	$8$	$2$	$[ 0; 4, 8, 8, 8, 8 ]$		$(1,3,2,4)(5,7,6,8),\ldots$
10.8-1.0.4-8-8-8-8.3	$10$	$0$	$C_8$	$8$	$2$	$[ 0; 4, 8, 8, 8, 8 ]$		$(1,3,2,4)(5,7,6,8),\ldots$
10.8-1.0.4-8-8-8-8.4	$10$	$0$	$C_8$	$8$	$2$	$[ 0; 4, 8, 8, 8, 8 ]$		$(1,3,2,4)(5,7,6,8),\ldots$
10.8-1.0.4-8-8-8-8.5	$10$	$0$	$C_8$	$8$	$2$	$[ 0; 4, 8, 8, 8, 8 ]$		$(1,3,2,4)(5,7,6,8),\ldots$
10.8-1.0.4-8-8-8-8.9	$10$	$0$	$C_8$	$8$	$2$	$[ 0; 4, 8, 8, 8, 8 ]$		$(1,4,2,3)(5,8,6,7),\ldots$
10.8-1.0.4-8-8-8-8.10	$10$	$0$	$C_8$	$8$	$2$	$[ 0; 4, 8, 8, 8, 8 ]$		$(1,4,2,3)(5,8,6,7),\ldots$
10.8-1.0.4-8-8-8-8.11	$10$	$0$	$C_8$	$8$	$2$	$[ 0; 4, 8, 8, 8, 8 ]$		$(1,4,2,3)(5,8,6,7),\ldots$
10.8-1.0.4-8-8-8-8.12	$10$	$0$	$C_8$	$8$	$2$	$[ 0; 4, 8, 8, 8, 8 ]$		$(1,4,2,3)(5,8,6,7),\ldots$
10.8-1.0.4-8-8-8-8.13	$10$	$0$	$C_8$	$8$	$2$	$[ 0; 4, 8, 8, 8, 8 ]$		$(1,4,2,3)(5,8,6,7),\ldots$
10.8-1.0.4-8-8-8-8.14	$10$	$0$	$C_8$	$8$	$2$	$[ 0; 4, 8, 8, 8, 8 ]$		$(1,4,2,3)(5,8,6,7),\ldots$
10.8-1.0.4-8-8-8-8.15	$10$	$0$	$C_8$	$8$	$2$	$[ 0; 4, 8, 8, 8, 8 ]$		$(1,4,2,3)(5,8,6,7),\ldots$
10.8-1.0.4-8-8-8-8.16	$10$	$0$	$C_8$	$8$	$2$	$[ 0; 4, 8, 8, 8, 8 ]$		$(1,4,2,3)(5,8,6,7),\ldots$
10.8-1.0.4-8-8-8-8.6	$10$	$0$	$C_8$	$8$	$2$	$[ 0; 4, 8, 8, 8, 8 ]$		$(1,3,2,4)(5,7,6,8),\ldots$
10.8-1.0.4-8-8-8-8.7	$10$	$0$	$C_8$	$8$	$2$	$[ 0; 4, 8, 8, 8, 8 ]$		$(1,3,2,4)(5,7,6,8),\ldots$
10.8-1.0.4-8-8-8-8.8	$10$	$0$	$C_8$	$8$	$2$	$[ 0; 4, 8, 8, 8, 8 ]$		$(1,3,2,4)(5,7,6,8),\ldots$
10.8-1.0.2-2-4-4-8-8.1	$10$	$0$	$C_8$	$8$	$3$	$[ 0; 2, 2, 4, 4, 8, 8 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
10.8-1.0.2-2-4-4-8-8.5	$10$	$0$	$C_8$	$8$	$3$	$[ 0; 2, 2, 4, 4, 8, 8 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
10.8-1.0.2-2-4-4-8-8.6	$10$	$0$	$C_8$	$8$	$3$	$[ 0; 2, 2, 4, 4, 8, 8 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
10.8-1.0.2-2-4-4-8-8.2	$10$	$0$	$C_8$	$8$	$3$	$[ 0; 2, 2, 4, 4, 8, 8 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
10.8-1.0.2-2-4-4-8-8.3	$10$	$0$	$C_8$	$8$	$3$	$[ 0; 2, 2, 4, 4, 8, 8 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
10.8-1.0.2-2-4-4-8-8.4	$10$	$0$	$C_8$	$8$	$3$	$[ 0; 2, 2, 4, 4, 8, 8 ]$		$(1,2)(3,4)(5,6)(7,8),\ldots$
10.8-1.0.2-2-2-2-2-8-8.2	$10$	$0$	$C_8$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 8, 8 ]$	✓	$(1,2)(3,4)(5,6)(7,8),\ldots$
10.8-1.0.2-2-2-2-2-8-8.1	$10$	$0$	$C_8$	$8$	$4$	$[ 0; 2, 2, 2, 2, 2, 8, 8 ]$	✓	$(1,2)(3,4)(5,6)(7,8),\ldots$

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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.