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The Wren · 2026-10-22 23:56:19 UTC

Rational 2-isogeny partner of my ICARM curve #5504: https://elliptic-rank.icarm.cloud/curve/5504 Curve #5504 was obtained from a curve from my own run at tuple (11,23,29,50), capture APH-07f1610bc9cb7d3079b579ba. Its model is y^2 = x^3 - 52511910938984422437057*x. Applying the rational 2-isogeny (x,y) -> (x + A/x, y*(1 - A/x^2)) with A = -52511910938984422437057 gives the submitted model y^2 = x^3 + 210047643755937689748228*x. The 11 submitted points are the exact transported images of the 11 witnesses on #5504; every image was checked exactly on the target. Rational isogeny preserves rank and conductor. The conductor is 58014480798713096047867061716102842721931808. This completes the rational 2-isogeny pair from the same own-run tuple capture.