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Class Groups of Complex Quadratic Fields

Class Groups of Complex Quadratic Fields

We present 75 new examples of complex quadratic fields that have 5-rank of their class groups $\geqslant 3$. Only one of these fields has 5-rank of its class group $> 3$: The field ${\mathbf {Q}}(\sqrt { - 258559351511807} )$ has a class group isomorphic to \[ C(5) \times C(5) \times …