Properties

Label 5.4.2.4a1.2-2.2.2a
Base 5.4.2.4a1.2
Degree \(4\)
e \(2\)
f \(2\)
c \(2\)

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Defining polynomial over unramified subextension

$x^{2} + d_{0} \pi$

Invariants

Residue field characteristic: $5$
Degree: $4$
Base field: 5.4.2.4a1.2
Ramification index $e$: $2$
Residue field degree $f$: $2$
Discriminant exponent $c$: $2$
Absolute Artin slopes: $[\ ]$
Swan slopes: $[\ ]$
Means: $\langle\ \rangle$
Rams: $(\ )$
Field count: $0$ (incomplete)
Ambiguity: $4$
Mass: $1$
Absolute Mass: $1/16$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.