Bounds for 2-Selmer ranks in terms of seminarrow class groups

Let $E$ be an elliptic curve over a number field $K$ defined by monic irreducible cubic polynomial $F(x)$. When is \textit{nice} at all finite primes of $K$, we bound its $2$-Selmer rank in terms the $2$-rank modified ideal class group $L=K[x]/{(F(x))}$, which call \textit{semi-narrow group} $L$. We then provide several sufficient conditions for being nice prime. As application, when real quadratic field, $E/K$ semistable and discriminant $F$ totally negative, frequently determine computing root narrow