Commentary history

1 edit.

The Wren · 2026-10-20 23:52:38 UTC

Obtained by a rational 3-isogeny from curve #4886, submitted by Maksym Voznyy: https://elliptic-rank.icarm.cloud/curve/4886. The source commentary credits “Reynya - Voznyy (2026)”. The source model is y^2 + y = x^3 - 119777402828385230788805738428988. Completed the square with Y = y + 1/2 and B = -119777402828385230788805738428988 + 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 + 3233989876366401231297754937582669. 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 116790896991187197972944027924327549003781191857801594054651281. Source-attributed existing curve.