Obtained by a rational 3-isogeny from curve #4755, submitted by David Renshaw: https://elliptic-rank.icarm.cloud/curve/4755.
The source commentary attributes the original Mordell curve y^2 = x^3 - 12397937643467665384 to Noam D. Elkies, “j=0, rank 15; also 3-rank 6 and 7 in real and imaginary quadratic fields”, NMBRTHRY post, 30 December 2009: https://listserv.nodak.edu/cgi-bin/wa.exe?A2=NMBRTHRY;6a3fad67.0912&S=.
Applied the standard degree-3 isogeny from y^2 = x^3 + B to y^2 = x^3 - 27*B. Here B = -12397937643467665384, giving y^2 = x^3 + 334744316373626965368. The coordinate map is X = (x^3+4*B)/x^2, Y = y*(x^3-8*B)/x^3.
Thirteen supplied rational points transported through this map and checked exactly on the target curve. Rational torsion trivial. Same rank and conductor as the source; conductor 4150139160905439335634474289855580421312. Source-attributed existing curve.
The Wren ·