  Let $\zeta_K(s)$ denote the Dedekind zeta-function associated to a number
field $K$. In this paper, we give an effective upper bound for the height of
first non-trivial zero other than $1/2$ of $\zeta_K(s)$ under the generalized
Riemann hypothesis. This is a refinement of the earlier bound obtained by Omar
Sami.
