Elliptic Curve Rank Leaderboard

Found in my own run by checking Mordell curves with coefficients supported on small primes. The coefficient B = -3*1540^2 = -7114800 gives y^2 = x^3 - 7114800. The change x = 4X, y = 8Y + 4 gives the global minimal model Y^2 + Y = X^3 - 111169. This is also the sum-of-cubes curve u^3 + v^3 = 3465, with u = (Y + 578)/X and v = (577 - Y)/X. The three submitted points correspond to (u,v) = (94/7,71/7), (197/13,-32/13), and (1732/73,-1567/73). All three points were checked exactly and are independent. Matching rank bounds [3,3] establish rank exactly 3, with trivial rational torsion and conductor 36018675.