Counting Imaginary Quadratic Fields with an Ideal Class Group of 5-rank at least 2

Kollin Bartz, Aaron Levin, Aman Dhruva Thamminana

We prove that there are $\gg \frac{X^{\frac{1}{3}}}{(\log X{)}^2}$ imaginary quadratic fields $k$ with discriminant $|d_k|\le X$ and an ideal class group of $5$-rank at least $2$. Th…