The quest for the cosmological parameters has come to fruition with the ide
ntification of a number of supernovae at a redshift of z similar to 1. Anal
yses of the brightness of these standard candles reveal that the Universe i
s dominated by a large cosmological constant. The recent identification of
the z similar to 1.7 SN 1997ff in the northern Hubble Deep Field has provid
ed further evidence for this cosmology. Here we examine the case for gravit
ational lensing of SN 1997ff owing to the presence of galaxies lying along
our line of sight. We find that, while the alignment of SN 1997ff with fore
ground masses is not favourable for it to be multiply imaged and strongly m
agnified, two galaxies do lie close enough to result in significant magnifi
cation: mu similar to 1.4 for the case where these elliptical galaxies have
a velocity dispersion of 200 kms(-1). Given the small difference between s
upernova brightnesses in different cosmologies, detailed modelling of the g
ravitational lensing properties of the intervening matter is therefore requ
ired before the true cosmological significance of SN 1997ff can be deduced.