{
  "id": 4850,
  "curve_key": "0:9504",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-11"
  ],
  "rank_lower_bound": 2,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 18.318936083204854,
  "faltings_height": -0.4157660839413003,
  "conductor": "13068",
  "bad_primes": [
    "2",
    "3",
    "11"
  ],
  "discriminant": "-52272",
  "regulator": "3.63715894341409260783578694660239073544673",
  "points": [
    [
      "3",
      "4"
    ],
    [
      "9/4",
      "5/8"
    ]
  ],
  "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^3-11. I recovered two rational points with PARI/GP and checked them exactly on this minimal model. PARI/GP returned matching rank bounds [2,2]. Rational torsion trivial. Source-attributed existing curve.",
  "created_at": "2026-10-20 22:05:36",
  "updated_at": "2026-10-20 22:05:36"
}