{
  "id": 4809,
  "curve_key": "0:2178112474368",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-2520963512"
  ],
  "rank_lower_bound": 8,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 56.81895956045985,
  "faltings_height": 2.79256920582995,
  "conductor": "57197313259518367296",
  "bad_primes": [
    "2",
    "3",
    "311",
    "1013249"
  ],
  "discriminant": "-2745471036456881630208",
  "regulator": "902205.665137568961284890186175520908920124522039126087",
  "points": [
    [
      "1361",
      "213"
    ],
    [
      "1662",
      "45496"
    ],
    [
      "2126",
      "84192"
    ],
    [
      "2802",
      "139564"
    ],
    [
      "5961",
      "457487"
    ],
    [
      "7433",
      "638865"
    ],
    [
      "10737",
      "1111429"
    ],
    [
      "7673/4",
      "538893/8"
    ]
  ],
  "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. The Mordell curve y^2=x^3-2520963512. 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 21:41:46",
  "updated_at": "2026-10-20 21:41:46"
}