Questions tagged [quadratic-fields]
The quadratic-fields tag has no summary.
2 questions
2
votes
0
answers
141
views
Find all primes $p$, such that $4p^3+2p-2$ is a perfect square.
I got this question from a reliable source in other forum.
This question is harder to me, because it can't be factored, at least in $Z$. We can put it as,
$p((2p)^2+2)=x^2+2$
Then $p$ has to be of the ...
2
votes
0
answers
106
views
Embedding quadratic fields in quaternion algebras
Let $K$ be a quadratic extension of $\mathbb{Q}$.
Then we know that $K$ is always a subfield of the algebra $\mathrm{M}_2(\mathbb{Q})$.
A "clean" way to produce embeddings is to observe that ...
- 28.7k