Properties

Label 53.4.1.0a1.1-4.2.4a
Base 53.4.1.0a1.1
Degree \(8\)
e \(2\)
f \(4\)
c \(4\)

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Defining polynomial over unramified subextension

$x^{2} + 53d_{0}$

Invariants

Residue field characteristic: $53$
Degree: $8$
Base field: 53.4.1.0a1.1
Ramification index $e$: $2$
Residue field degree $f$: $4$
Discriminant exponent $c$: $4$
Absolute Artin slopes: $[\ ]$
Swan slopes: $[\ ]$
Means: $\langle\ \rangle$
Rams: $(\ )$
Field count: $0$ (incomplete)
Ambiguity: $8$
Mass: $1$
Absolute Mass: $1/16$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.