Resumen de Elliptic K3 Surfaces with Geometric Mordell¿Weil Rank 15
We prove that the elliptic surface y2 = x3 + 2(t8 + 14t4 + 1) x + 4t2 (t8 + 6t4 + 1) has geometric Mordell¿Weil rank 15. This completes a list of Kuwata, who gave explicit examples of elliptic K3-surfaces with geometric Mordell¿Weil ranks 0, 1, dots, 14, 16, 17, 18.
