On non-congruent numbers with 1 modulo 4 prime factors

Yi Ouyang, Shenxing Zhang

In this paper, we use the 2-decent method to find a series of odd non-congruent numbers $\equiv 1(\mathrm{mod}8)$ whose prime factors are $\equiv 1(\mathrm{mod}4)$ such that the congruent elliptic cu…