{
  "id": 5421,
  "curve_key": "0:7984008",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-9241"
  ],
  "rank_lower_bound": 2,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 31.785902197953884,
  "faltings_height": 0.7064810922877859,
  "conductor": "36963",
  "bad_primes": [
    "3",
    "37"
  ],
  "discriminant": "-36889110963",
  "regulator": "115.944829735749653984429244366576589408646",
  "points": [
    [
      "3097/144",
      "-46819/1728"
    ],
    [
      "999001/900",
      "998485001/27000"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "Rational 3-isogeny partner of curve #3251:\r\nhttps://elliptic-rank.icarm.cloud/curve/3251\r\n\r\nThe source is Cremona 36963f1 = LMFDB 36963.g2:\r\nhttps://www.lmfdb.org/EllipticCurve/Q/36963/g/2\r\n\r\nThe two Cremona generators were transported through the exact degree-3 isogeny and checked exactly on this minimal target model. Rank ≥2 is preserved under the rational isogeny. Rational torsion is trivial. This target is a cube-sum curve.",
  "created_at": "2026-10-21 22:45:57",
  "updated_at": "2026-10-21 22:45:57"
}