This could be a nearly impossible puzzle for us to solve, not only because of the great number of red roses available to gardeners, but also because of regional differences. Where are you growing this rose? England? France? Some of the most popular roses in those countries are virtually unknown to us here.
Now that those provisos have been stated, I guess it's time for a wild guess. My wild guess is Don Juan, although the blooms on your rose appear to be cupped rather than high centered.
Rose (Rosa 'Don Juan')
