Jean Gillibert, Pierre Gillibert
Published 2020-05-21Version 1
We prove the existence, for each integer $n>1$, of infinitely many cyclic cubic fields whose ideal class group has $n$-rank at least two. This improves on the general bound proved by Nakano, which is one for totally real number fields.
Heuristics for $2$-class Towers of Cyclic Cubic Fields
Ideal class groups of division fields of elliptic curves and everywhere unramified rational points
Families of Cyclic Cubic Fields
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