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 (1-50 of 182 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Generating vectors
15.11-1.0.11-11-11-11-11.1	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.2	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.3	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.4	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.5	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.6	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.7	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.8	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.9	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.10	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.11	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.12	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.13	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.14	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.15	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.16	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.17	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.18	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.19	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.20	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.21	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.22	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.23	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.24	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.25	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.26	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.27	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.28	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.29	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.30	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.31	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.32	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.33	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.34	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.35	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.36	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.37	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.38	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.39	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.40	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.41	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.42	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.43	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.44	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.45	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.46	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.47	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.48	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.49	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$
15.11-1.0.11-11-11-11-11.50	$15$	$0$	$C_{11}$	$11$	$2$	$[ 0; 11, 11, 11, 11, 11 ]$	$(1,2,3,4,5,6,7,8,9,10,11),\ldots$

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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.