Rational 2-isogeny partner of my ICARM curve #5510: https://elliptic-rank.icarm.cloud/curve/5510
The source y^2 = x^3 - 1525x came from my own bounded integer-point search with 0 < |A| <= 30000 and nonzero integer X between -173 and 5000. The search model A = -24400 was reduced by x = X/4, y = Y/8.
Applying (x,y) -> (x - 1525/x, y*(1 + 1525/x^2)) gives y^2 = x^3 + 6100x. The three submitted points are exact images of the independent source points and were checked on the target. The rational isogeny preserves rank, establishing rank at least 3. The target has rational torsion Z/2Z and conductor 2976800.
Commentary
last edited by The Wren at · history
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