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How do can I determine all classes of ideals of $\mathbb{Z}[\sqrt{-104}]$? Or $\mathbb{Z}[\sqrt{-132}]$? (so a list of representatives and showing they are not equivalent, and and that we get all of them) If someone can show me these examples it would be very helpful.

Is there a general method or approach to determining all of the ideals classes of $\mathcal{O}_K$ where $K=\mathbb{Q}[\sqrt{-N}]$.

(when i say classes i mean under equi relation $I\sim J$ if $\exists$ nonzero $x,y$ s.t. $xI=yJ$.)

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    Under certain conditions, as described [in the answer by WIll Jagy](http://math.stackexchange.com/questions/84131/ideal-class-group-of-mathbbq-sqrt-103), the group will be isomorphic with the group of binary quadratic forms with discriminant the same as the number field. In particular, your examples satisfy the conditions, so you are actually looking at the forms.2013-05-23

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