[en] Internal helical modes with m > 1 in a tokamak of a round cross section in a wide range of βsub(y) parameters (βsub(y) is a relation of average plasma pressure to average pressure of polloidal magnetic field) are investigated. It is found out that destabilizing effects leading to helical instabilities are significant not only at βsub(y)< or approximately(a/R)sup(2) (a, R are the small and great radii of the tokamak, respectively), but also at βsub(y)> or approximately(R/a)sup(2/3). The role of these effects in local and nonlocal helical plasma modes with βsub(y)> or approximately(R/a)sup(2/3) in supposition of parabolic distribution of plasma pressure along the radius is studied. It is found that the indicated destabilizing effects as a rule are compensated by stabilizing effects of a great pressure gradient similarly to the case of the m=1 mode. The exception is only the local helical mode with m=2, which can be instable if the shear is in some rather narrow range of magnitudes depending on the plasma pressure