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Prescribed ideal classes and elliptic points in Ennola cubic fields
For every prime $\ell\geq5$ and integer $n\geq2$, we construct an Ennola cubic field with a specified prime above $\ell$ of exact ideal-class order $2^n$. The same squareclass obstructions give four independent rational points on associated elliptic curves. A Pell equation describes all parameters s
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