{
  "id": 4737,
  "curve_key": "0:842727456",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-975379"
  ],
  "rank_lower_bound": 6,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 41.10430832240302,
  "faltings_height": 1.48301493599188,
  "conductor": "102747332913228",
  "bad_primes": [
    "2",
    "3",
    "975379"
  ],
  "discriminant": "-410989331652912",
  "regulator": "25502.927708648293720993842197289510283052784642240",
  "points": [
    [
      "347",
      "6388"
    ],
    [
      "359",
      "6730"
    ],
    [
      "875",
      "25864"
    ],
    [
      "953/4",
      "28339/8"
    ],
    [
      "2143/9",
      "95554/27"
    ],
    [
      "5483/49",
      "223796/343"
    ]
  ],
  "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. The Mordell curve y^2=x^3-975379. I recovered six rational points with PARI/GP and checked them exactly on this minimal model. PARI/GP returned matching rank bounds [6,6]. Rational torsion trivial. Source-attributed existing curve.",
  "created_at": "2026-10-20 21:27:23",
  "updated_at": "2026-10-20 21:27:23"
}