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 (32 matches)

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Refined passport label	Genus	Quotient genus	Group	Group order	Dimension	Signature
2.6-1.0.2-2-3-3.1	$2$	$0$	$S_3$	$6$	$1$	$[ 0; 2, 2, 3, 3 ]$
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	$3$	$1$	$S_3$	$6$	$1$	$[ 1; 3 ]$
4.6-1.0.2-2-3-3-3.1	$4$	$0$	$S_3$	$6$	$2$	$[ 0; 2, 2, 3, 3, 3 ]$
4.6-1.0.2-2-2-2-2-2.1	$4$	$0$	$S_3$	$6$	$3$	$[ 0; 2, 2, 2, 2, 2, 2 ]$
4.6-1.1.2-2.1	$4$	$1$	$S_3$	$6$	$2$	$[ 1; 2, 2 ]$
5.6-1.0.2-2-2-2-3-3.1	$5$	$0$	$S_3$	$6$	$3$	$[ 0; 2, 2, 2, 2, 3, 3 ]$
6.6-1.0.2-2-3-3-3-3.1	$6$	$0$	$S_3$	$6$	$3$	$[ 0; 2, 2, 3, 3, 3, 3 ]$
6.6-1.0.2-2-2-2-2-2-3.1	$6$	$0$	$S_3$	$6$	$4$	$[ 0; 2, 2, 2, 2, 2, 2, 3 ]$
7.6-1.0.2-2-2-2-3-3-3.1	$7$	$0$	$S_3$	$6$	$4$	$[ 0; 2, 2, 2, 2, 3, 3, 3 ]$
7.6-1.0.2-2-2-2-2-2-2-2.1	$7$	$0$	$S_3$	$6$	$5$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2 ]$
8.6-1.0.2-2-3-3-3-3-3.1	$8$	$0$	$S_3$	$6$	$4$	$[ 0; 2, 2, 3, 3, 3, 3, 3 ]$
8.6-1.0.2-2-2-2-2-2-3-3.1	$8$	$0$	$S_3$	$6$	$5$	$[ 0; 2, 2, 2, 2, 2, 2, 3, 3 ]$
9.6-1.0.2-2-2-2-3-3-3-3.1	$9$	$0$	$S_3$	$6$	$5$	$[ 0; 2, 2, 2, 2, 3, 3, 3, 3 ]$
9.6-1.0.2-2-2-2-2-2-2-2-3.1	$9$	$0$	$S_3$	$6$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 3 ]$
10.6-1.0.2-2-3-3-3-3-3-3.1	$10$	$0$	$S_3$	$6$	$5$	$[ 0; 2, 2, 3, 3, 3, 3, 3, 3 ]$
10.6-1.0.2-2-2-2-2-2-3-3-3.1	$10$	$0$	$S_3$	$6$	$6$	$[ 0; 2, 2, 2, 2, 2, 2, 3, 3, 3 ]$
10.6-1.0.2-2-2-2-2-2-2-2-2-2.1	$10$	$0$	$S_3$	$6$	$7$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
11.6-1.0.2-2-2-2-3-3-3-3-3.1	$11$	$0$	$S_3$	$6$	$6$	$[ 0; 2, 2, 2, 2, 3, 3, 3, 3, 3 ]$
11.6-1.0.2-2-2-2-2-2-2-2-3-3.1	$11$	$0$	$S_3$	$6$	$7$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 3, 3 ]$
12.6-1.0.2-2-3-3-3-3-3-3-3.1	$12$	$0$	$S_3$	$6$	$6$	$[ 0; 2, 2, 3, 3, 3, 3, 3, 3, 3 ]$
12.6-1.0.2-2-2-2-2-2-3-3-3-3.1	$12$	$0$	$S_3$	$6$	$7$	$[ 0; 2, 2, 2, 2, 2, 2, 3, 3, 3, 3 ]$
12.6-1.0.2-2-2-2-2-2-2-2-2-2-3.1	$12$	$0$	$S_3$	$6$	$8$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3 ]$
13.6-1.0.2-2-2-2-3-3-3-3-3-3.1	$13$	$0$	$S_3$	$6$	$7$	$[ 0; 2, 2, 2, 2, 3, 3, 3, 3, 3, 3 ]$
13.6-1.0.2-2-2-2-2-2-2-2-3-3-3.1	$13$	$0$	$S_3$	$6$	$8$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3 ]$
13.6-1.0.2-2-2-2-2-2-2-2-2-2-2-2.1	$13$	$0$	$S_3$	$6$	$9$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$
14.6-1.0.2-2-3-3-3-3-3-3-3-3.1	$14$	$0$	$S_3$	$6$	$7$	$[ 0; 2, 2, 3, 3, 3, 3, 3, 3, 3, 3 ]$
14.6-1.0.2-2-2-2-2-2-3-3-3-3-3.1	$14$	$0$	$S_3$	$6$	$8$	$[ 0; 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3 ]$
14.6-1.0.2-2-2-2-2-2-2-2-2-2-3-3.1	$14$	$0$	$S_3$	$6$	$9$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3 ]$
15.6-1.0.2-2-2-2-3-3-3-3-3-3-3.1	$15$	$0$	$S_3$	$6$	$8$	$[ 0; 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3 ]$
15.6-1.0.2-2-2-2-2-2-2-2-3-3-3-3.1	$15$	$0$	$S_3$	$6$	$9$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3 ]$
15.6-1.0.2-2-2-2-2-2-2-2-2-2-2-2-3.1	$15$	$0$	$S_3$	$6$	$10$	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3 ]$

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Classical	Maass
Hilbert	Bianchi

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