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A result of Honda guarantees that for our discriminants $D$, the quadratic number field $K_{D} = \\mathbb{Q}(\\sqrt{D})$ always has non-trivial 3-class group. 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A result of Honda guarantees that for our discriminants $D$, the quadratic number field $K_{D} = \\mathbb{Q}(\\sqrt{D})$ always has non-trivial 3-class group. 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