Properties

Label 14.1092-25.0.2-3-7
Genus \(14\)
Quotient genus \(0\)
Group \(\PSL(2,13)\)
Signature \([ 0; 2, 3, 7 ]\)

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This is the curve of genus 14 with the largest possible automorphism group, achieving the Hurwitz bound.

Family Information

Genus: $14$
Dimension of the family: $0$

Cover

Quotient genus: $0$
Number of branch points: $3$
Signature: $[ 0; 2, 3, 7 ]$

Group

Name: $\PSL(2,13)$
Identifier:$[1092,25]$

Conjugacy class(es) of Refined passports

Refined passport label Lists of conjugacy classes
14.1092-25.0.2-3-7.1 2, 3, 5
14.1092-25.0.2-3-7.2 2, 3, 6
14.1092-25.0.2-3-7.3 2, 3, 7