A Pair of Quadratic Fields with Class Number Divisible by 3

NOTE ON THE p-DIVISIBILITY OF CLASS NUMBERS OF AN INFINITE FAMILY OF IMAGINARY QUADRATIC FIELDS

“…Iizuka, Konomi, and Nakano [23] constructed pairs of quadratic fields whose class numbers are divisible by 3, 5, and 7 by associating the problem to the study of points on elliptic curves. Kalita and Saikia [25] proved that the class numbers of the pairs of quadratic fields Q( p 12ℓ+2 − 4) and…”