Class number divisibility of $\mathbb{Q}(\sqrt{3p},\sqrt{m-21p{n}^2})$ constructed from elliptic curves of $2$-Selmer rank exactly $1$

Debopam Chakraborty, Vinodkumar Ghale, MD Imdadul Islam

The class number divisibility problem for number fields is one of the classical problems in algebraic number theory, which originated from Gauss' class number conjectures. The rela…