{
  "id": 4811,
  "curve_key": "0:38075996522016",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-44069440419"
  ],
  "rank_lower_bound": 8,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 62.541210373948786,
  "faltings_height": 3.269423440287361,
  "conductor": "95906942165125476324",
  "bad_primes": [
    "2",
    "3",
    "10891",
    "149867"
  ],
  "discriminant": "-838993930060517666882352",
  "regulator": "2944491.57668075950044024104120895648903503972523219651",
  "points": [
    [
      "3867",
      "117288"
    ],
    [
      "8695",
      "783134"
    ],
    [
      "9739",
      "937900"
    ],
    [
      "16633/4",
      "1334611/8"
    ],
    [
      "17305/4",
      "1536803/8"
    ],
    [
      "17881/4",
      "1701955/8"
    ],
    [
      "32755/9",
      "1736632/27"
    ],
    [
      "74625/4",
      "20316447/8"
    ]
  ],
  "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+1632201497, giving y^2=x^3-44069440419. I recovered eight rational points with PARI/GP and checked them exactly on this minimal model. PARI/GP returned matching rank bounds [8,8]. Rational torsion trivial. Source-attributed existing curve.",
  "created_at": "2026-10-20 21:43:55",
  "updated_at": "2026-10-20 21:43:55"
}