Geodesic
On Tate height and the representation of numbers by binary forms
Izvestiya. Mathematics , Tome 8 (1974) no. 3, pp. 463-476

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We give a decomposition of the Tate height into components possessing quadraticity with respect to a group law, and on the basis of this decomposition we obtain an estimate for the number of $K$-points with integral coordinates of certain algebraic curves. 
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     author = {V. A. Dem'yanenko},
     title = {On {Tate} height and the representation of numbers by binary forms},
     journal = {Izvestiya. Mathematics },
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V. A. Dem'yanenko. On Tate height and the representation of numbers by binary forms. Izvestiya. Mathematics , Tome 8 (1974) no. 3, pp. 463-476. http://geodesic.mathdoc.fr/item/IM2_1974_8_3_a0/