{
  "id": 4775,
  "curve_key": "0:-22753641312",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "26335233"
  ],
  "rank_lower_bound": 6,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 47.69598205441168,
  "faltings_height": 2.032321080325935,
  "conductor": "102747332913228",
  "bad_primes": [
    "2",
    "3",
    "975379"
  ],
  "discriminant": "-299611222774972848",
  "regulator": "2833.6586342942548578882046885877233647836427380267",
  "points": [
    [
      "-264",
      "2817"
    ],
    [
      "-138",
      "4869"
    ],
    [
      "-48",
      "5121"
    ],
    [
      "42",
      "5139"
    ],
    [
      "123",
      "5310"
    ],
    [
      "456",
      "11007"
    ]
  ],
  "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^3-975379, giving y^2=x^3+26335233. 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 21:30:02",
  "updated_at": "2026-10-20 21:30:02"
}