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 152 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature
2.4-1.0.2-2-4-4.1	$2$	$0$	$C_4$	$4$	$1$	$[ 0; 2, 2, 4, 4 ]$
3.4-1.0.4-4-4-4.2	$3$	$0$	$C_4$	$4$	$1$	$[ 0; 4, 4, 4, 4 ]$
3.4-1.0.4-4-4-4.1	$3$	$0$	$C_4$	$4$	$1$	$[ 0; 4, 4, 4, 4 ]$
3.4-1.0.4-4-4-4.3	$3$	$0$	$C_4$	$4$	$1$	$[ 0; 4, 4, 4, 4 ]$
3.4-1.0.2-2-2-4-4.2	$3$	$0$	$C_4$	$4$	$2$	$[ 0; 2, 2, 2, 4, 4 ]$
3.4-1.0.2-2-2-4-4.1	$3$	$0$	$C_4$	$4$	$2$	$[ 0; 2, 2, 2, 4, 4 ]$
3.4-1.1.2-2.1	$3$	$1$	$C_4$	$4$	$2$	$[ 1; 2, 2 ]$
4.4-1.0.2-4-4-4-4.1	$4$	$0$	$C_4$	$4$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$
4.4-1.0.2-4-4-4-4.2	$4$	$0$	$C_4$	$4$	$2$	$[ 0; 2, 4, 4, 4, 4 ]$
4.4-1.0.2-2-2-2-4-4.1	$4$	$0$	$C_4$	$4$	$3$	$[ 0; 2, 2, 2, 2, 4, 4 ]$
4.4-1.1.4-4.1	$4$	$1$	$C_4$	$4$	$2$	$[ 1; 4, 4 ]$
5.4-1.0.2-2-4-4-4-4.1	$5$	$0$	$C_4$	$4$	$3$	$[ 0; 2, 2, 4, 4, 4, 4 ]$
5.4-1.0.2-2-4-4-4-4.2	$5$	$0$	$C_4$	$4$	$3$	$[ 0; 2, 2, 4, 4, 4, 4 ]$
5.4-1.0.2-2-4-4-4-4.3	$5$	$0$	$C_4$	$4$	$3$	$[ 0; 2, 2, 4, 4, 4, 4 ]$
5.4-1.0.2-2-2-2-2-4-4.2	$5$	$0$	$C_4$	$4$	$4$	$[ 0; 2, 2, 2, 2, 2, 4, 4 ]$
5.4-1.0.2-2-2-2-2-4-4.1	$5$	$0$	$C_4$	$4$	$4$	$[ 0; 2, 2, 2, 2, 2, 4, 4 ]$
6.4-1.0.4-4-4-4-4-4.3	$6$	$0$	$C_4$	$4$	$3$	$[ 0; 4, 4, 4, 4, 4, 4 ]$
6.4-1.0.4-4-4-4-4-4.1	$6$	$0$	$C_4$	$4$	$3$	$[ 0; 4, 4, 4, 4, 4, 4 ]$
6.4-1.0.4-4-4-4-4-4.2	$6$	$0$	$C_4$	$4$	$3$	$[ 0; 4, 4, 4, 4, 4, 4 ]$
6.4-1.0.2-2-2-4-4-4-4.2	$6$	$0$	$C_4$	$4$	$4$	$[ 0; 2, 2, 2, 4, 4, 4, 4 ]$
6.4-1.0.2-2-2-4-4-4-4.1	$6$	$0$	$C_4$	$4$	$4$	$[ 0; 2, 2, 2, 4, 4, 4, 4 ]$
6.4-1.0.2-2-2-2-2-2-4-4.1	$6$	$0$	$C_4$	$4$	$5$	$[ 0; 2, 2, 2, 2, 2, 2, 4, 4 ]$
7.4-1.0.2-4-4-4-4-4-4.1	$7$	$0$	$C_4$	$4$	$4$	$[ 0; 2, 4, 4, 4, 4, 4, 4 ]$
7.4-1.0.2-4-4-4-4-4-4.2	$7$	$0$	$C_4$	$4$	$4$	$[ 0; 2, 4, 4, 4, 4, 4, 4 ]$
7.4-1.0.2-4-4-4-4-4-4.3	$7$	$0$	$C_4$	$4$	$4$	$[ 0; 2, 4, 4, 4, 4, 4, 4 ]$
7.4-1.0.2-4-4-4-4-4-4.4	$7$	$0$	$C_4$	$4$	$4$	$[ 0; 2, 4, 4, 4, 4, 4, 4 ]$
7.4-1.0.2-2-2-2-4-4-4-4.2	$7$	$0$	$C_4$	$4$	$5$	$[ 0; 2, 2, 2, 2, 4, 4, 4, 4 ]$
7.4-1.0.2-2-2-2-4-4-4-4.3	$7$	$0$	$C_4$	$4$	$5$	$[ 0; 2, 2, 2, 2, 4, 4, 4, 4 ]$
7.4-1.0.2-2-2-2-4-4-4-4.1	$7$	$0$	$C_4$	$4$	$5$	$[ 0; 2, 2, 2, 2, 4, 4, 4, 4 ]$
7.4-1.0.2-2-2-2-2-2-2-4-4.2	$7$	$0$	$C_4$	$4$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
7.4-1.0.2-2-2-2-2-2-2-4-4.1	$7$	$0$	$C_4$	$4$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
8.4-1.0.2-2-4-4-4-4-4-4.2	$8$	$0$	$C_4$	$4$	$5$	$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$
8.4-1.0.2-2-4-4-4-4-4-4.3	$8$	$0$	$C_4$	$4$	$5$	$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$
8.4-1.0.2-2-4-4-4-4-4-4.1	$8$	$0$	$C_4$	$4$	$5$	$[ 0; 2, 2, 4, 4, 4, 4, 4, 4 ]$
8.4-1.0.2-2-2-2-2-4-4-4-4.2	$8$	$0$	$C_4$	$4$	$6$	$[ 0; 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$
8.4-1.0.2-2-2-2-2-4-4-4-4.1	$8$	$0$	$C_4$	$4$	$6$	$[ 0; 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$
8.4-1.0.2-2-2-2-2-2-2-2-4-4.1	$8$	$0$	$C_4$	$4$	$7$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$
9.4-1.0.4-4-4-4-4-4-4-4.5	$9$	$0$	$C_4$	$4$	$5$	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4 ]$
9.4-1.0.4-4-4-4-4-4-4-4.1	$9$	$0$	$C_4$	$4$	$5$	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4 ]$
9.4-1.0.4-4-4-4-4-4-4-4.2	$9$	$0$	$C_4$	$4$	$5$	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4 ]$
9.4-1.0.4-4-4-4-4-4-4-4.3	$9$	$0$	$C_4$	$4$	$5$	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4 ]$
9.4-1.0.4-4-4-4-4-4-4-4.4	$9$	$0$	$C_4$	$4$	$5$	$[ 0; 4, 4, 4, 4, 4, 4, 4, 4 ]$
9.4-1.0.2-2-2-4-4-4-4-4-4.2	$9$	$0$	$C_4$	$4$	$6$	$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$
9.4-1.0.2-2-2-4-4-4-4-4-4.4	$9$	$0$	$C_4$	$4$	$6$	$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$
9.4-1.0.2-2-2-4-4-4-4-4-4.3	$9$	$0$	$C_4$	$4$	$6$	$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$
9.4-1.0.2-2-2-4-4-4-4-4-4.1	$9$	$0$	$C_4$	$4$	$6$	$[ 0; 2, 2, 2, 4, 4, 4, 4, 4, 4 ]$
9.4-1.0.2-2-2-2-2-2-4-4-4-4.1	$9$	$0$	$C_4$	$4$	$7$	$[ 0; 2, 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$
9.4-1.0.2-2-2-2-2-2-4-4-4-4.3	$9$	$0$	$C_4$	$4$	$7$	$[ 0; 2, 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$
9.4-1.0.2-2-2-2-2-2-4-4-4-4.2	$9$	$0$	$C_4$	$4$	$7$	$[ 0; 2, 2, 2, 2, 2, 2, 4, 4, 4, 4 ]$
9.4-1.0.2-2-2-2-2-2-2-2-2-4-4.1	$9$	$0$	$C_4$	$4$	$8$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4 ]$

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Classical	Maass
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Elliptic curves over $\Q$
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Genus 2 curves over $\Q$
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