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 186 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature
3.2-1.0.2-2-2-2-2-2-2-2.1	$3$	$0$	$C_2$	$2$	$5$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]$
3.2-1.1.2-2-2-2.1	$3$	$1$	$C_2$	$2$	$4$	$[ 1; 2, 2, 2, 2 ]$
3.2-1.2.0.1	$3$	$2$	$C_2$	$2$	$3$	$[ 2; -]$
3.3-1.0.3-3-3-3-3.2	$3$	$0$	$C_3$	$3$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$
3.3-1.0.3-3-3-3-3.1	$3$	$0$	$C_3$	$3$	$2$	$[ 0; 3, 3, 3, 3, 3 ]$
3.3-1.1.3-3.1	$3$	$1$	$C_3$	$3$	$2$	$[ 1; 3, 3 ]$
3.4-1.0.4-4-4-4.2	$3$	$0$	$C_4$	$4$	$1$	$[ 0; 4, 4, 4, 4 ]$
3.4-1.0.4-4-4-4.3	$3$	$0$	$C_4$	$4$	$1$	$[ 0; 4, 4, 4, 4 ]$
3.4-1.0.4-4-4-4.1	$3$	$0$	$C_4$	$4$	$1$	$[ 0; 4, 4, 4, 4 ]$
3.4-1.0.2-2-2-4-4.1	$3$	$0$	$C_4$	$4$	$2$	$[ 0; 2, 2, 2, 4, 4 ]$
3.4-1.0.2-2-2-4-4.2	$3$	$0$	$C_4$	$4$	$2$	$[ 0; 2, 2, 2, 4, 4 ]$
3.4-2.0.2-2-2-2-2-2.2	$3$	$0$	$C_2^2$	$4$	$3$	$[ 0; 2, 2, 2, 2, 2, 2 ]$
3.4-2.0.2-2-2-2-2-2.4	$3$	$0$	$C_2^2$	$4$	$3$	$[ 0; 2, 2, 2, 2, 2, 2 ]$
3.4-2.0.2-2-2-2-2-2.5	$3$	$0$	$C_2^2$	$4$	$3$	$[ 0; 2, 2, 2, 2, 2, 2 ]$
3.4-2.0.2-2-2-2-2-2.3	$3$	$0$	$C_2^2$	$4$	$3$	$[ 0; 2, 2, 2, 2, 2, 2 ]$
3.4-2.0.2-2-2-2-2-2.6	$3$	$0$	$C_2^2$	$4$	$3$	$[ 0; 2, 2, 2, 2, 2, 2 ]$
3.4-2.0.2-2-2-2-2-2.1	$3$	$0$	$C_2^2$	$4$	$3$	$[ 0; 2, 2, 2, 2, 2, 2 ]$
3.4-2.0.2-2-2-2-2-2.7	$3$	$0$	$C_2^2$	$4$	$3$	$[ 0; 2, 2, 2, 2, 2, 2 ]$
3.4-1.1.2-2.1	$3$	$1$	$C_4$	$4$	$2$	$[ 1; 2, 2 ]$
3.4-2.1.2-2.3	$3$	$1$	$C_2^2$	$4$	$2$	$[ 1; 2, 2 ]$
3.4-2.1.2-2.1	$3$	$1$	$C_2^2$	$4$	$2$	$[ 1; 2, 2 ]$
3.4-2.1.2-2.2	$3$	$1$	$C_2^2$	$4$	$2$	$[ 1; 2, 2 ]$
3.6-2.0.2-3-3-6.2	$3$	$0$	$C_6$	$6$	$1$	$[ 0; 2, 3, 3, 6 ]$
3.6-2.0.2-2-6-6.1	$3$	$0$	$C_6$	$6$	$1$	$[ 0; 2, 2, 6, 6 ]$
3.6-2.0.2-3-3-6.1	$3$	$0$	$C_6$	$6$	$1$	$[ 0; 2, 3, 3, 6 ]$
3.6-1.0.2-2-2-2-3.1	$3$	$0$	$S_3$	$6$	$2$	$[ 0; 2, 2, 2, 2, 3 ]$
3.6-1.1.3.1	$3$	$1$	$S_3$	$6$	$1$	$[ 1; 3 ]$
3.7-1.0.7-7-7.2	$3$	$0$	$C_7$	$7$	$0$	$[ 0; 7, 7, 7 ]$
3.7-1.0.7-7-7.3	$3$	$0$	$C_7$	$7$	$0$	$[ 0; 7, 7, 7 ]$
3.7-1.0.7-7-7.4	$3$	$0$	$C_7$	$7$	$0$	$[ 0; 7, 7, 7 ]$
3.7-1.0.7-7-7.5	$3$	$0$	$C_7$	$7$	$0$	$[ 0; 7, 7, 7 ]$
3.7-1.0.7-7-7.8	$3$	$0$	$C_7$	$7$	$0$	$[ 0; 7, 7, 7 ]$
3.7-1.0.7-7-7.1	$3$	$0$	$C_7$	$7$	$0$	$[ 0; 7, 7, 7 ]$
3.7-1.0.7-7-7.6	$3$	$0$	$C_7$	$7$	$0$	$[ 0; 7, 7, 7 ]$
3.7-1.0.7-7-7.7	$3$	$0$	$C_7$	$7$	$0$	$[ 0; 7, 7, 7 ]$
3.8-1.0.4-8-8.4	$3$	$0$	$C_8$	$8$	$0$	$[ 0; 4, 8, 8 ]$
3.8-1.0.4-8-8.1	$3$	$0$	$C_8$	$8$	$0$	$[ 0; 4, 8, 8 ]$
3.8-1.0.4-8-8.6	$3$	$0$	$C_8$	$8$	$0$	$[ 0; 4, 8, 8 ]$
3.8-1.0.4-8-8.3	$3$	$0$	$C_8$	$8$	$0$	$[ 0; 4, 8, 8 ]$
3.8-1.0.4-8-8.2	$3$	$0$	$C_8$	$8$	$0$	$[ 0; 4, 8, 8 ]$
3.8-1.0.4-8-8.5	$3$	$0$	$C_8$	$8$	$0$	$[ 0; 4, 8, 8 ]$
3.8-2.0.2-2-4-4.5	$3$	$0$	$C_2\times C_4$	$8$	$1$	$[ 0; 2, 2, 4, 4 ]$
3.8-2.0.2-2-4-4.11	$3$	$0$	$C_2\times C_4$	$8$	$1$	$[ 0; 2, 2, 4, 4 ]$
3.8-2.0.2-2-4-4.12	$3$	$0$	$C_2\times C_4$	$8$	$1$	$[ 0; 2, 2, 4, 4 ]$
3.8-2.0.2-2-4-4.4	$3$	$0$	$C_2\times C_4$	$8$	$1$	$[ 0; 2, 2, 4, 4 ]$
3.8-2.0.2-2-4-4.10	$3$	$0$	$C_2\times C_4$	$8$	$1$	$[ 0; 2, 2, 4, 4 ]$
3.8-3.0.2-2-4-4.2	$3$	$0$	$D_4$	$8$	$1$	$[ 0; 2, 2, 4, 4 ]$
3.8-2.0.2-2-4-4.3	$3$	$0$	$C_2\times C_4$	$8$	$1$	$[ 0; 2, 2, 4, 4 ]$
3.8-2.0.2-2-4-4.2	$3$	$0$	$C_2\times C_4$	$8$	$1$	$[ 0; 2, 2, 4, 4 ]$
3.8-2.0.2-2-4-4.7	$3$	$0$	$C_2\times C_4$	$8$	$1$	$[ 0; 2, 2, 4, 4 ]$

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Elliptic curves over $\Q$
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