LMFDB - Family of higher genus curves with automorphisms search results

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Hyperelliptic	Generating vectors
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	$11$	$0$	$C_2$	$2$	$21$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓	$(1,2),\ldots$
11.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3.1	$11$	$0$	$C_3$	$3$	$10$	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$		$(1,2,3),\ldots$
11.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3.3	$11$	$0$	$C_3$	$3$	$10$	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$		$(1,2,3),\ldots$
11.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3.2	$11$	$0$	$C_3$	$3$	$10$	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$		$(1,2,3),\ldots$
11.3-1.0.3-3-3-3-3-3-3-3-3-3-3-3-3.4	$11$	$0$	$C_3$	$3$	$10$	$[ 0; 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3 ]$		$(1,2,3),\ldots$
11.4-1.0.2-2-4-4-4-4-4-4-4-4.1	$11$	$0$	$C_4$	$4$	$7$	$[ 0; 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
11.4-1.0.2-2-4-4-4-4-4-4-4-4.2	$11$	$0$	$C_4$	$4$	$7$	$[ 0; 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
11.4-1.0.2-2-4-4-4-4-4-4-4-4.4	$11$	$0$	$C_4$	$4$	$7$	$[ 0; 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
11.4-1.0.2-2-4-4-4-4-4-4-4-4.5	$11$	$0$	$C_4$	$4$	$7$	$[ 0; 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
11.4-1.0.2-2-4-4-4-4-4-4-4-4.3	$11$	$0$	$C_4$	$4$	$7$	$[ 0; 2, 2, 4, 4, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
11.4-1.0.2-2-2-2-2-4-4-4-4-4-4.1	$11$	$0$	$C_4$	$4$	$8$	$[ 0; 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
11.4-1.0.2-2-2-2-2-4-4-4-4-4-4.2	$11$	$0$	$C_4$	$4$	$8$	$[ 0; 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
11.4-1.0.2-2-2-2-2-4-4-4-4-4-4.3	$11$	$0$	$C_4$	$4$	$8$	$[ 0; 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
11.4-1.0.2-2-2-2-2-4-4-4-4-4-4.4	$11$	$0$	$C_4$	$4$	$8$	$[ 0; 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
11.4-1.0.2-2-2-2-2-2-2-2-4-4-4-4.3	$11$	$0$	$C_4$	$4$	$9$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
11.4-1.0.2-2-2-2-2-2-2-2-4-4-4-4.1	$11$	$0$	$C_4$	$4$	$9$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
11.4-1.0.2-2-2-2-2-2-2-2-4-4-4-4.2	$11$	$0$	$C_4$	$4$	$9$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$		$(1,2)(3,4),\ldots$
11.4-1.0.2-2-2-2-2-2-2-2-2-2-2-4-4.2	$11$	$0$	$C_4$	$4$	$10$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$	✓	$(1,2)(3,4),\ldots$
11.4-1.0.2-2-2-2-2-2-2-2-2-2-2-4-4.1	$11$	$0$	$C_4$	$4$	$10$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$	✓	$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.4	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.28	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓	$(1,3)(2,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.26	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.20	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.27	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓	$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.29	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,3)(2,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.30	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,3)(2,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.22	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.2	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓	$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.23	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.3	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.21	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓	$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.24	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.16	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.12	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.1	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$	✓	$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.13	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.14	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.15	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.17	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.9	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.8	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.10	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.6	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.7	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.11	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.18	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.19	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.5	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.25	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,2)(3,4),\ldots$
11.4-2.0.2-2-2-2-2-2-2-2-2-2-2-2-2-2.31	$11$	$0$	$C_2^2$	$4$	$11$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$		$(1,3)(2,4),\ldots$

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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.