⌂ → Higher genus → C → Aut → 7 → $C_2^2$ → [0;2,2,2,2,2,2,2,2,2,2]

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Family of genus 7 curves with automorphism group $C_2^2$

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Properties

Label	7.4-2.0.2-2-2-2-2-2-2-2-2-2
Genus	\(7\)
Quotient genus	\(0\)
Group	\(C_2^2\)
Signature	\([ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]\)

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Family Information

Genus:	$7$
Dimension of the family:	$7$

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Quotient genus:	$0$
Number of branch points:	$10$
Signature:	$[ 0; 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 ]$

Group

Name:	$C_2^2$
Identifier:	$[4,2]$

Conjugacy class(es) of Refined passports

Refined passport label	Conjugacy classes
7.4-2.0.2-2-2-2-2-2-2-2-2-2.1	2, 2, 2, 2, 2, 2, 2, 2, 3, 3
7.4-2.0.2-2-2-2-2-2-2-2-2-2.2	2, 2, 2, 2, 2, 2, 2, 2, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.3	2, 2, 2, 2, 2, 2, 3, 3, 3, 3
7.4-2.0.2-2-2-2-2-2-2-2-2-2.4	2, 2, 2, 2, 2, 2, 3, 3, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.5	2, 2, 2, 2, 2, 2, 4, 4, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.6	2, 2, 2, 2, 3, 3, 3, 3, 3, 3
7.4-2.0.2-2-2-2-2-2-2-2-2-2.7	2, 2, 2, 2, 3, 3, 3, 3, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.8	2, 2, 2, 2, 3, 3, 4, 4, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.9	2, 2, 2, 2, 4, 4, 4, 4, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.10	2, 2, 3, 3, 3, 3, 3, 3, 3, 3
7.4-2.0.2-2-2-2-2-2-2-2-2-2.11	2, 2, 3, 3, 3, 3, 3, 3, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.12	2, 2, 3, 3, 3, 3, 4, 4, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.13	2, 2, 3, 3, 4, 4, 4, 4, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.14	2, 2, 4, 4, 4, 4, 4, 4, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.15	3, 3, 3, 3, 3, 3, 3, 3, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.16	3, 3, 3, 3, 3, 3, 4, 4, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.17	3, 3, 3, 3, 4, 4, 4, 4, 4, 4
7.4-2.0.2-2-2-2-2-2-2-2-2-2.18	3, 3, 4, 4, 4, 4, 4, 4, 4, 4

Displaying representatives for 4 topologically inequivalent actions.

7.4-2.0.2-2-2-2-2-2-2-2-2-2.1.1

	(1,2) (3,4)
	(1,2) (3,4)
	(1,2) (3,4)
	(1,2) (3,4)
	(1,2) (3,4)
	(1,2) (3,4)
	(1,2) (3,4)
	(1,2) (3,4)
	(1,3) (2,4)
	(1,3) (2,4)

7.4-2.0.2-2-2-2-2-2-2-2-2-2.3.1

	(1,2) (3,4)
	(1,2) (3,4)
	(1,2) (3,4)
	(1,2) (3,4)
	(1,2) (3,4)
	(1,2) (3,4)
	(1,3) (2,4)
	(1,3) (2,4)
	(1,3) (2,4)
	(1,3) (2,4)

7.4-2.0.2-2-2-2-2-2-2-2-2-2.4.1

	(1,2) (3,4)
	(1,2) (3,4)
	(1,2) (3,4)
	(1,2) (3,4)
	(1,2) (3,4)
	(1,2) (3,4)
	(1,3) (2,4)
	(1,3) (2,4)
	(1,4) (2,3)
	(1,4) (2,3)

7.4-2.0.2-2-2-2-2-2-2-2-2-2.7.1

	(1,2) (3,4)
	(1,2) (3,4)
	(1,2) (3,4)
	(1,2) (3,4)
	(1,3) (2,4)
	(1,3) (2,4)
	(1,3) (2,4)
	(1,3) (2,4)
	(1,4) (2,3)
	(1,4) (2,3)