Properties

Label 43.1.3.2a1.2-5.3.10a
Base 43.1.3.2a1.2
Degree \(15\)
e \(3\)
f \(5\)
c \(10\)

Related objects

Downloads

Learn more

Defining polynomial over unramified subextension

$x^{3} + d_{0} \pi$

Invariants

Residue field characteristic: $43$
Degree: $15$
Base field: 43.1.3.2a1.2
Ramification index $e$: $3$
Residue field degree $f$: $5$
Discriminant exponent $c$: $10$
Absolute Artin slopes: $[\ ]$
Swan slopes: $[\ ]$
Means: $\langle\ \rangle$
Rams: $(\ )$
Field count: $0$ (incomplete)
Ambiguity: $15$
Mass: $1$
Absolute Mass: $1/15$ ($0$ currently in the LMFDB)

The LMFDB does not contain any fields from this family.