A parametric family of quintic Thue equations

For an integral parameter t is an element of Z we investigate the family of Thue equations F(x, y) = x(5) + (t - 1)(2)x(4)y - (2t(3) + 4t + 4)x(3)y(2) + (t(4) + t(3) + 2t(2) + 4t - 3)x(2)y(3) + (t(3) + t(2) + 5t + 3)xy(4) + y(5) = +/-1, originating from Emma Lehmer's family of quintic fields, and show that for \t\ greater than or equal to 3.28.10(15) the only solutions are the trivial ones with x = 0 or y = 0. Our arguments contain some new ideas in comparis on with the standard methods for Thue families, which gives this family a s pecial interest.