Obtained by a rational 2-isogeny from curve #4763, submitted by David Renshaw: https://elliptic-rank.icarm.cloud/curve/4763.
The original curve y^2 = x^3 - 1033477836241777*x appears as the rank-10 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 = -1033477836241777, giving y^2 = x^3 + 4133911344967108*x. The coordinate map is X = (x^2+A)/x, Y = y*(x^2-A)/x^2.
Ten 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 34178446016095527602163203767328. Source-attributed existing curve.
Commentary
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