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 96 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature	Generating vectors
13.45-2.0.3-15-15.8	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,6,11)\cdots(35,40,45),\ldots$
13.45-2.0.3-15-15.9	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,6,11)\cdots(35,40,45),\ldots$
13.45-2.0.3-15-15.10	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,6,11)\cdots(35,40,45),\ldots$
13.45-2.0.3-15-15.11	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,6,11)\cdots(35,40,45),\ldots$
13.45-2.0.3-15-15.12	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,6,11)\cdots(35,40,45),\ldots$
13.45-2.0.3-15-15.5	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,6,11)\cdots(35,40,45),\ldots$
13.45-2.0.3-15-15.6	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,6,11)\cdots(35,40,45),\ldots$
13.45-2.0.3-15-15.7	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,6,11)\cdots(35,40,45),\ldots$
13.45-2.0.3-15-15.1	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,6,11)\cdots(35,40,45),\ldots$
13.45-2.0.3-15-15.2	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,6,11)\cdots(35,40,45),\ldots$
13.45-2.0.3-15-15.3	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,6,11)\cdots(35,40,45),\ldots$
13.45-2.0.3-15-15.4	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,6,11)\cdots(35,40,45),\ldots$
13.45-2.0.3-15-15.13	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,11,6)\cdots(35,45,40),\ldots$
13.45-2.0.3-15-15.14	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,11,6)\cdots(35,45,40),\ldots$
13.45-2.0.3-15-15.15	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,11,6)\cdots(35,45,40),\ldots$
13.45-2.0.3-15-15.16	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,11,6)\cdots(35,45,40),\ldots$
13.45-2.0.3-15-15.17	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,11,6)\cdots(35,45,40),\ldots$
13.45-2.0.3-15-15.18	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,11,6)\cdots(35,45,40),\ldots$
13.45-2.0.3-15-15.19	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,11,6)\cdots(35,45,40),\ldots$
13.45-2.0.3-15-15.20	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,11,6)\cdots(35,45,40),\ldots$
13.45-2.0.3-15-15.21	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,11,6)\cdots(35,45,40),\ldots$
13.45-2.0.3-15-15.22	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,11,6)\cdots(35,45,40),\ldots$
13.45-2.0.3-15-15.23	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,11,6)\cdots(35,45,40),\ldots$
13.45-2.0.3-15-15.24	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,11,6)\cdots(35,45,40),\ldots$
13.45-2.0.3-15-15.25	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,16,31)\cdots(15,30,45),\ldots$
13.45-2.0.3-15-15.26	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,16,31)\cdots(15,30,45),\ldots$
13.45-2.0.3-15-15.27	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,16,31)\cdots(15,30,45),\ldots$
13.45-2.0.3-15-15.28	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,16,31)\cdots(15,30,45),\ldots$
13.45-2.0.3-15-15.29	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,16,31)\cdots(15,30,45),\ldots$
13.45-2.0.3-15-15.30	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,16,31)\cdots(15,30,45),\ldots$
13.45-2.0.3-15-15.31	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,16,31)\cdots(15,30,45),\ldots$
13.45-2.0.3-15-15.32	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,16,31)\cdots(15,30,45),\ldots$
13.45-2.0.3-15-15.33	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,16,31)\cdots(15,30,45),\ldots$
13.45-2.0.3-15-15.34	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,16,31)\cdots(15,30,45),\ldots$
13.45-2.0.3-15-15.35	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,16,31)\cdots(15,30,45),\ldots$
13.45-2.0.3-15-15.36	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,16,31)\cdots(15,30,45),\ldots$
13.45-2.0.3-15-15.37	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,31,16)\cdots(15,45,30),\ldots$
13.45-2.0.3-15-15.38	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,31,16)\cdots(15,45,30),\ldots$
13.45-2.0.3-15-15.39	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,31,16)\cdots(15,45,30),\ldots$
13.45-2.0.3-15-15.40	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,31,16)\cdots(15,45,30),\ldots$
13.45-2.0.3-15-15.41	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,31,16)\cdots(15,45,30),\ldots$
13.45-2.0.3-15-15.42	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,31,16)\cdots(15,45,30),\ldots$
13.45-2.0.3-15-15.43	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,31,16)\cdots(15,45,30),\ldots$
13.45-2.0.3-15-15.44	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,31,16)\cdots(15,45,30),\ldots$
13.45-2.0.3-15-15.45	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,31,16)\cdots(15,45,30),\ldots$
13.45-2.0.3-15-15.46	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,31,16)\cdots(15,45,30),\ldots$
13.45-2.0.3-15-15.47	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,31,16)\cdots(15,45,30),\ldots$
13.45-2.0.3-15-15.48	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,31,16)\cdots(15,45,30),\ldots$
13.45-2.0.3-15-15.49	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,21,41)\cdots(15,20,40),\ldots$
13.45-2.0.3-15-15.50	$13$	$0$	$C_3\times C_{15}$	$45$	$0$	$[ 0; 3, 15, 15 ]$	$(1,21,41)\cdots(15,20,40),\ldots$

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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.