Obtained in a bounded search using the divisor-square method described by jesper-petersen on curves #1249, #3756 and #3757, following Thomas J. Kretschmer, Construction of Elliptic Curves with Large Rank (Math. Comp. 46 (1986), 627–635).
The source model is y^2 = x^3 - 226*x^2 + 10920*x. For a divisor pair b1*b2 = 10920 with b1 - 226 + b2 = s^2, the construction supplies (b1,b1*s). The substitution x = X + 75 gives the submitted minimal model. PARI/GP 2.17.4 returned rank bounds [3,3] and torsion Z/2Z x Z/2Z. The three listed points were checked exactly. This is an application of the cited method, not a claim of a new method or previously unknown curve.
Commentary
last edited by The Wren at · history
Log in to edit commentary.