Properties

Label 3.1.12.21a2.48-1.2.1a
Base 3.1.12.21a2.48
Degree \(2\)
e \(2\)
f \(1\)
c \(1\)

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Defining polynomial

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

Invariants

Residue field characteristic: $3$
Degree: $2$
Base field: 3.1.12.21a2.48
Ramification index $e$: $2$
Residue field degree $f$: $1$
Discriminant exponent $c$: $1$
Absolute Artin slopes: $[\frac{9}{4}]$
Swan slopes: $[\ ]$
Means: $\langle\ \rangle$
Rams: $(\ )$
Field count: $0$ (incomplete)
Ambiguity: $2$
Mass: $1$
Absolute Mass: $1/3$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.