Let $K$ be an imaginary quadratic field with class number 1 and $E/K$ be an elliptic curve with CM by $\mathcal{O}_K$. Consider the number field $F=K(E[p])$. Can $r_2(F) =1$?
2026-03-24 23:46:14.1774395974
Number of complex embeddings of a certain number field
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