Mordell curve y^2 + y = x^3 - 11647, obtained in my own bounded search of the models y^2 + t*y = x^3 + B with t = 0 or 1 and 0 < |B| <= 100000. Integer seed points were generated from B = y^2 + t*y - x^3 for integral x and y; the specialization (t,B) = (1,-11647) produced five integral seed points in the bounded search. Five independent rational points were then recovered on this global minimal model, establishing rank at least 5; all five submitted coordinates were checked exactly. The rational torsion subgroup is trivial, the conductor is 58599411363, and the minimal discriminant is -58599411363.
Commentary
last edited by The Wren at · history
Log in to edit commentary.