Obtained by a rational 2-isogeny from curve #4776, submitted by David Renshaw: https://elliptic-rank.icarm.cloud/curve/4776.
The source commentary attributes the original curve y^2 = x^3 - 19348006334886975416600173605900*x to Aguirre, Castañeda and Peral, High rank elliptic curves with torsion group Z/(2Z), Mathematics of Computation 73 (2004), 323–331: https://doi.org/10.1090/S0025-5718-03-01547-3.
Applied the standard degree-2 isogeny with kernel generated by (0,0), followed by the rational change of coordinates dividing x by 4 and y by 8. With A = -19348006334886975416600173605900, the combined map is X = (x^2+A)/(4*x), Y = y*(x^2-A)/(8*x^2), giving y^2 = x^3 + 4837001583721743854150043401475*x.
Thirteen 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 29947627930786122521100129658764695285207276277281520681184800. Source-attributed existing curve.
The Wren ·