It seems to be a precision issue; the error disappears when increasing the 
precision.

>From within Sage:

sage: point.height(precision=200)
242.47010035195076100129810400142304776375572634483556206582

Or directly in PARI:

gp > \p 100
   realprecision = 115 significant digits (100 digits displayed)
gp > ellheight(F, Q)
%7 = 
242.47010035195076100129810400142304776375572634483556206582073967312482167584

Peter

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