Obtained by a rational 2-isogeny from curve #4760, submitted by David Renshaw: https://elliptic-rank.icarm.cloud/curve/4760.
The original curve y^2 = x^3 - 727465200962*x appears as the rank-9 example in Table 2, Section 6.1, of Julián Aguirre, Álvaro Lozano-Robledo and Juan Carlos Peral, Elliptic curves of maximal rank: https://alozano.clas.uconn.edu/wp-content/uploads/sites/490/2014/01/ALP-2-23-07.pdf.
Applied the standard degree-2 isogeny with kernel generated by (0,0), sending y^2 = x^3 + A*x to y^2 = x^3 - 4*A*x. Here A = -727465200962, giving y^2 = x^3 + 2909860803848*x. The coordinate map is X = (x^2+A)/x, Y = y*(x^2-A)/x^2.
Nine supplied rational points transported through this map and checked exactly on the target curve. Rational torsion C2. Same rank and conductor as the source; conductor 33869159591083714926428416. Source-attributed existing curve.
Commentary
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