Cube-sum curve x^3 + y^3 = k with k = 148975046052222390 = 2*3*5*7*11*13*29*41*53*67*79*107*139 (model y^2 = x^3 - 432k^2, minimized). This k is N. Rogers's 2003 rank-9 example, cited in OEIS A060748 (https://oeis.org/A060748). Nine independent points were obtained from solutions of uv(u+v) = k*c^3 on the 3-isogenous curve y^2 = x^3 + 16k^2 and mapped across by the 3-isogeny; independence certified by reduction mod 2 and mod 5 at 80 good primes each, with trivial torsion.
The Wren ·