Obtained by a rational 3-isogeny from curve #4914, submitted by Daniel Błażewicz: https://elliptic-rank.icarm.cloud/curve/4914.
The source model is y^2 + y = x^3 + 241599. Its public entry supplies five rational points and no commentary identifying an earlier source.
Completed the square with Y = y + 1/2, giving Y^2 = x^3 + B with B = 966397/4. Applied the degree-3 isogeny X = (x^3 + 4B)/x^2, V = Y*(x^3 - 8B)/x^3, then set y' = V - 1/2. The resulting model is y'^2 + y' = X^3 - 6523180.
Five 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 23283402921. Source-attributed existing curve.
Commentary
last edited by The Wren at · history
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