LMFDB - One refined passport of genus 11 with automorphism group $D

Family Information

Genus:	$11$
Quotient genus:	$0$
Group name:	$D_6$
Group identifier:	$[12,4]$
Signature:	$[ 0; 2, 2, 2, 2, 6, 6 ]$

Conjugacy classes for this refined passport:

$3, 3, 3, 3, 6, 6$

Jacobian variety group algebra decomposition:	$E\times A_{2}\times A_{2}^{2}\times A_{2}^{2}$
Corresponding character(s):	$2, 3, 5, 6$

Other Data

Hyperelliptic curve(s):	no
Cyclic trigonal curve(s):	no

Generating vector(s)

Displaying 18 of 18 generating vectors for this refined passport.

11.12-4.0.2-2-2-2-6-6.3.1

	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,5,3,4,2,6) (7,11,9,10,8,12)
	(1,6,2,4,3,5) (7,12,8,10,9,11)

11.12-4.0.2-2-2-2-6-6.3.2

	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,6,2,4,3,5) (7,12,8,10,9,11)
	(1,6,2,4,3,5) (7,12,8,10,9,11)

11.12-4.0.2-2-2-2-6-6.3.3

	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,5,3,4,2,6) (7,11,9,10,8,12)
	(1,5,3,4,2,6) (7,11,9,10,8,12)

11.12-4.0.2-2-2-2-6-6.3.4

	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,5,3,4,2,6) (7,11,9,10,8,12)
	(1,6,2,4,3,5) (7,12,8,10,9,11)

11.12-4.0.2-2-2-2-6-6.3.5

	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,6,2,4,3,5) (7,12,8,10,9,11)
	(1,5,3,4,2,6) (7,11,9,10,8,12)

11.12-4.0.2-2-2-2-6-6.3.6

	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,8) (2,7) (3,9) (4,11) (5,10) (6,12)
	(1,6,2,4,3,5) (7,12,8,10,9,11)
	(1,6,2,4,3,5) (7,12,8,10,9,11)

11.12-4.0.2-2-2-2-6-6.3.7

	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,6,2,4,3,5) (7,12,8,10,9,11)
	(1,6,2,4,3,5) (7,12,8,10,9,11)

11.12-4.0.2-2-2-2-6-6.3.8

	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,5,3,4,2,6) (7,11,9,10,8,12)
	(1,5,3,4,2,6) (7,11,9,10,8,12)

11.12-4.0.2-2-2-2-6-6.3.9

	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,8) (2,7) (3,9) (4,11) (5,10) (6,12)
	(1,5,3,4,2,6) (7,11,9,10,8,12)
	(1,6,2,4,3,5) (7,12,8,10,9,11)

11.12-4.0.2-2-2-2-6-6.3.10

	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,8) (2,7) (3,9) (4,11) (5,10) (6,12)
	(1,6,2,4,3,5) (7,12,8,10,9,11)
	(1,5,3,4,2,6) (7,11,9,10,8,12)

11.12-4.0.2-2-2-2-6-6.3.11

	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,5,3,4,2,6) (7,11,9,10,8,12)
	(1,6,2,4,3,5) (7,12,8,10,9,11)

11.12-4.0.2-2-2-2-6-6.3.12

	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,6,2,4,3,5) (7,12,8,10,9,11)
	(1,5,3,4,2,6) (7,11,9,10,8,12)

11.12-4.0.2-2-2-2-6-6.3.13

	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,6,2,4,3,5) (7,12,8,10,9,11)
	(1,6,2,4,3,5) (7,12,8,10,9,11)

11.12-4.0.2-2-2-2-6-6.3.14

	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,8) (2,7) (3,9) (4,11) (5,10) (6,12)
	(1,5,3,4,2,6) (7,11,9,10,8,12)
	(1,5,3,4,2,6) (7,11,9,10,8,12)

11.12-4.0.2-2-2-2-6-6.3.15

	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,8) (2,7) (3,9) (4,11) (5,10) (6,12)
	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,5,3,4,2,6) (7,11,9,10,8,12)
	(1,5,3,4,2,6) (7,11,9,10,8,12)

11.12-4.0.2-2-2-2-6-6.3.16

	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,8) (2,7) (3,9) (4,11) (5,10) (6,12)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,5,3,4,2,6) (7,11,9,10,8,12)
	(1,6,2,4,3,5) (7,12,8,10,9,11)

11.12-4.0.2-2-2-2-6-6.3.17

	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,8) (2,7) (3,9) (4,11) (5,10) (6,12)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,6,2,4,3,5) (7,12,8,10,9,11)
	(1,5,3,4,2,6) (7,11,9,10,8,12)

11.12-4.0.2-2-2-2-6-6.3.18

	(1,7) (2,9) (3,8) (4,10) (5,12) (6,11)
	(1,9) (2,8) (3,7) (4,12) (5,11) (6,10)
	(1,8) (2,7) (3,9) (4,11) (5,10) (6,12)
	(1,8) (2,7) (3,9) (4,11) (5,10) (6,12)
	(1,6,2,4,3,5) (7,12,8,10,9,11)
	(1,6,2,4,3,5) (7,12,8,10,9,11)

Overview	Random
Universe	Knowledge

Classical	Maass
Hilbert	Bianchi

Elliptic curves over $\Q$
Elliptic curves over $\Q(\alpha)$
Genus 2 curves over $\Q$
Higher genus families
Abelian varieties over $\F_{q}$

Label	11.12-4.0.2-2-2-2-6-6.3
Genus	\(11\)
Quotient genus	\(0\)
Group	\(D_6\)
Signature	\([ 0; 2, 2, 2, 2, 6, 6 ]\)
Generating Vectors	\(18\)

Introduction

L-functions

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Family Information

Other Data

Generating vector(s)

This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.

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