The size of $2$-Selmer groups for the $\frac{\pi }{3}$-congruent number problem

Kushal Bhowmick, Aprameyo Pal

Our main objective in this paper is to study the average rank of the $2$-Selmer group of the elliptic curve associated with the $\frac{\pi }{3}$-congruent number problem. Following Heat…