... coefficients in Fq2, up to anonzero scalar. Again, since the point P∞is an o rdinary triple point for Γ and since C3is absolutely irreducible, we get that P∞is a simple point of either ... through the point P∞,where Cnhas order n for some 1 ≤ n ≤ 5.Case n = 1 Suppose first that there exists a line ℓ of P G(2, F) contained in Γ andpassing through the point P∞. Since ℓ is a ... Fq, European J. Combin., 27 (2006), 940–961.[5] P. Dembowski: Finite Geometries, Springer Verlag, Berlin, 19 68.[6] G.L. Ebert, G. Marino, O. Polverino, R. Trombett i: In nite families ofnew...