Properties

Label 53.14.2.14a
Base 53.1.1.0a1.1
Degree \(28\)
e \(2\)
f \(14\)
c \(14\)

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Defining polynomial over unramified subextension

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

Invariants

Residue field characteristic: $53$
Degree: $28$
Base field: $\Q_{53}$
Ramification index $e$: $2$
Residue field degree $f$: $14$
Discriminant exponent $c$: $14$
Artin slopes: $[\ ]$
Swan slopes: $[\ ]$
Means: $\langle\ \rangle$
Rams: $(\ )$
Field count: $0$ (incomplete)
Ambiguity: $28$
Mass: $1$
Absolute Mass: $1/14$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.