{
  "id": 4778,
  "curve_key": "0:-54844128",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "63477"
  ],
  "rank_lower_bound": 4,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 35.64001136669691,
  "faltings_height": 1.0276568563497044,
  "conductor": "596937708",
  "bad_primes": [
    "2",
    "3",
    "2351"
  ],
  "discriminant": "-1740670356528",
  "regulator": "87.03534071734921379959530071504573070499458191",
  "points": [
    [
      "3",
      "252"
    ],
    [
      "147",
      "1800"
    ],
    [
      "-87/4",
      "1845/8"
    ],
    [
      "57/4",
      "2061/8"
    ]
  ],
  "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^3-2351, giving y^2=x^3+63477. I recovered four rational points with PARI/GP and checked them exactly on this minimal model. PARI/GP returned matching rank bounds [4,4]. Rational torsion trivial. Source-attributed existing curve.",
  "created_at": "2026-10-20 21:32:33",
  "updated_at": "2026-10-20 21:32:33"
}