Class groups of imaginary quadratic fields of $3$-rank at least $2$

Abstract

We produce an infinite family of imaginary quadratic fields whose ideal class groups have $3$-rank at least $2$.

arXiv commentTo appear in the special issue of the Ann. Univ. Sci. Budapest. Sect. Comput. in honor of the 80-th birthday of Professors Zoltán Daróczy and Imre Kátai, the 75-th birthday of Professor Karl-Heinz Indlekofer, the 70-th birthday of Professors Jean-Marie De Koninck and Gyula Maksa, and the 65-th birthday of Professor Bui Minh Phong