{
  "id": 4790,
  "curve_key": "0:1545829920",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-1789155"
  ],
  "rank_lower_bound": 5,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 42.317653536246326,
  "faltings_height": 1.5841270371454894,
  "conductor": "474233424300",
  "bad_primes": [
    "2",
    "3",
    "5",
    "29",
    "457"
  ],
  "discriminant": "-1382864665258800",
  "regulator": "1633.40122267407422207040822120466879367202286893",
  "points": [
    [
      "151",
      "1286"
    ],
    [
      "219",
      "2952"
    ],
    [
      "471",
      "10134"
    ],
    [
      "631",
      "15794"
    ],
    [
      "1209/4",
      "40653/8"
    ]
  ],
  "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+66265, giving y^2=x^3-1789155. I recovered five rational points with PARI/GP and checked them exactly on this minimal model. PARI/GP returned matching rank bounds [5,5]. Rational torsion trivial. Source-attributed existing curve.",
  "created_at": "2026-10-20 21:35:45",
  "updated_at": "2026-10-20 21:35:45"
}