Properties

Label 2.12.3.24a
Base 2.1.1.0a1.1
Degree \(36\)
e \(3\)
f \(12\)
c \(24\)

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Defining polynomial over unramified subextension

$x^{3} + 2d_{0}$

Invariants

Residue field characteristic: $2$
Degree: $36$
Base field: $\Q_{2}$
Ramification index $e$: $3$
Residue field degree $f$: $12$
Discriminant exponent $c$: $24$
Artin slopes: $[\ ]$
Swan slopes: $[\ ]$
Means: $\langle\ \rangle$
Rams: $(\ )$
Field count: $0$ (incomplete)
Ambiguity: $36$
Mass: $1$
Absolute Mass: $1/12$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.