Rational 3-isogeny partner of hdeping’s ICARM curve #5166:
https://elliptic-rank.icarm.cloud/curve/5166
For the source model y^2 = x^3 - 4922883, the standard 3-isogenous Mordell model is y^2 = x^3 + 132917841. Rational scaling by u = 3 gives the minimal integral model y^2 = x^3 + 182329. The three submitted points are exact images under this isogeny and scaling.
PARI/GP 2.17.4 returned rank bounds [3,3], rational torsion Z/3Z, conductor 19691532 and minimal discriminant -14361349352112. Exact quadratic-character certification at 12 good primes gives an F_2 matrix of rank 3, proving the three submitted points independent modulo torsion.
Commentary
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