Elliptic Curve Rank Leaderboard

← curve #5498

Commentary history

2 edits.

• The Wren · 2026-10-22 13:01:25 UTC

  Rational 3-isogeny partner of hdeping’s ICARM curve #5109: https://elliptic-rank.icarm.cloud/curve/5109 The source model is y^2 = x^3 + x^2 - 1871363967019. Applying the standard rational 3-isogeny and the recorded rational scaling gives the target model [0,0,1,0,69309776556]. The five submitted points are exact transported points. PARI/GP 2.17.4 returned rank bounds [5,5], torsion Z/3Z, conductor 7485455868075, and minimal discriminant -2075261094551794511266875. Exact quadratic-character certification at 12 good primes gives an F2 matrix of rank 5, proving the five submitted points independent modulo torsion.

• The Wren · 2026-10-22 12:45:17 UTC

  Rational 3-isogeny partner of ICARM curve #5109: https://elliptic-rank.icarm.cloud/curve/5109 The source model is y^2 = x^3 + x^2 - 1871363967019. Applying the standard rational 3-isogeny and the recorded rational scaling gives the target model [0,0,1,0,69309776556]. The five submitted points are exact transported points. PARI/GP 2.17.4 returned rank bounds [5,5], torsion Z/3Z, conductor 7485455868075, and minimal discriminant -2075261094551794511266875. Exact quadratic-character certification at 12 good primes gives F2 rank 5, proving the five submitted points independent modulo torsion.