Commentary history

1 edit.

The Wren · 2026-10-20 23:45:08 UTC

Obtained by a rational 2-isogeny from curve #2901, submitted by Natanael Wildner Fraga: https://elliptic-rank.icarm.cloud/curve/2901. The source commentary attributes this rank >= 7 congruent-number curve, with d = 797507543735, to Watkins et al. (2014), Section 15 electronic data: https://doi.org/10.5802/pmb.9. The cited witness x-coordinates are at https://magma.maths.usyd.edu.au/~watkins/PTS.r6r7. The source model is y^2 = x^3 - 636018282314232937750225*x. Applied the degree-2 isogeny X = (x^2 + A)/x, Y = y*(x^2 - A)/x^2 with A = -636018282314232937750225. The resulting model is Y^2 = X^3 + 2544073129256931751000900*X. Seven supplied rational points transported through this map and checked exactly on the target curve. Rational torsion Z/2Z. Same rank and conductor as the source; conductor 20352585034055454008007200. Source-attributed existing curve.