Suppose there exists a field extension $\mathbb F_p\subset E$. Question: Is it possible that the degree is $[E:\mathbb F_p]=2$. And how many elemnts are in E then?
How can I proof such a question? Hints are welcome.
2026-04-12 20:56:41.1776027401
Field extension $\mathbb F_p\subset E$
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$[\Bbb{F}_{p^2}:\Bbb{F}_p]=2$ and the cardinal is $p^2$