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Mar 28, 2020 at 23:28 comment added Franz Lemmermeyer Neither do I. For the moment, I think that Siegel is a little bit sloppy with his language.
Mar 28, 2020 at 20:08 comment added Shimrod Thank you for your answer. However, it is still not clear to me what is wrong with my calculation of the norm. According to the question above, every ideal class of $\text{Cl}(\mathcal O_f)$ contains a fractional ideal of norm equal to $1$. But by this question/answer this happens if and only if the class number $h_f$ is odd. But $h_f=f+1$ above is even.
Mar 28, 2020 at 17:20 history answered Franz Lemmermeyer CC BY-SA 4.0