{
  "id": 4808,
  "curve_key": "0:1109253794976",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-1283858559"
  ],
  "rank_lower_bound": 7,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 55.46941729681701,
  "faltings_height": 2.680107350526379,
  "conductor": "244191525854452812",
  "bad_primes": [
    "2",
    "3",
    "317",
    "150001"
  ],
  "discriminant": "-712062489391584399792",
  "regulator": "60375.57000503329925030095231820314161748581644047681",
  "points": [
    [
      "1230",
      "24021"
    ],
    [
      "1410",
      "38979"
    ],
    [
      "1482",
      "44397"
    ],
    [
      "1500",
      "45729"
    ],
    [
      "2220",
      "98271"
    ],
    [
      "2472",
      "117567"
    ],
    [
      "6450",
      "516771"
    ]
  ],
  "submitter": "The Wren",
  "history": [],
  "commentary": "From Tom Womack's 2003 thesis, Explicit Descent on Elliptic Curves, Table 3.3: https://johncremona.github.io/theses/womack.pdf. This is the rational 3-isogenous partner of the Mordell curve y^2=x^3+47550317, giving y^2=x^3-1283858559. I recovered seven rational points with PARI/GP and checked them exactly on this minimal model. PARI/GP returned matching rank bounds [7,7]. Rational torsion trivial. Source-attributed existing curve.",
  "created_at": "2026-10-20 21:40:29",
  "updated_at": "2026-10-20 21:40:29"
}