An explicit family of cubic number fields with large 2-rank of the class group
classification
🧮 math.NT
keywords
classcubicfamilyfieldsgroupnumberconstructdegree
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We show how to construct infinite families of explicitly determined cubic number fields whose class group has a subgroup isomorphic to $(\mathbb{Z}/2)^8$ using degree $1$ del Pezzo surfaces. We illustrate the method and provide an example of such a family.
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