Relations between good ordinary reduction for $E/\mathbb{Q}$ and for $E/K$ with $K$ number field
94727
When the trace of the Frobenius homomorphism is zero?
38190
Discriminant of a monic irreducible integer polynomial vs. discriminant of its splitting field
16163
Show $\mathbb{Q}(\sqrt{2},\sqrt{3})$ is a simple extension field of $\mathbb{Q}$.
133312
Are these polynomials irreducible in $\mathbb{Q}[x]$?
146591
Inseparable polynomial over a non-perfect field
146617
A complete picture of the lattice of subfields for a cyclotomic extension over $\mathbb{Q}$.
15626
Relations of a~b iff b = ak^2
126127
A field extension of prime degree
78143
Proving $\mathbb{F}_p/\langle f(x)\rangle$ with $f(x)$ irreducible of degree $n$ is a field with $p^n$ elements
107821
The ring of integers of $\mathbf{Q}[i]$
108550
Elements of $\mathbb Q(2^{1/3})$
100162
Minimal polynomial over an extension field divides the minimal polynomial over the base field
150170
Subrings of fraction fields
157074
The elements in the composite field $FK$
47041
What are the conditions for integers $D_1$ and $D_2$ so that $\mathbb{Q}[\sqrt {D_1}] \simeq \mathbb{Q}[\sqrt {D_2}]$ as fields.
64878
Is this polynomial irreducible in $\mathbb{Q}$?
73652
Exhibiting an isomorphism between two finite fields