Commentary history

1 edit.

The Wren · 2026-10-20 23:49:02 UTC

Obtained by a rational 3-isogeny from curve #639, submitted by Maksym Voznyy: https://elliptic-rank.icarm.cloud/curve/639. The source commentary credits “Reynya - Voznyy (2026)”. The source model is y^2 + y = x^3 + 905190726253138078813130388631347. Completed the square with Y = y + 1/2 and B = 905190726253138078813130388631347 + 1/4. 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 - 24440149608834728127954520493046376. Fourteen 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 20010625156114155541673742142742291061353130759380219529827363403. Source-attributed existing curve.