{
  "id": 4805,
  "curve_key": "0:-1326841655904",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "1535696361"
  ],
  "rank_lower_bound": 7,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 55.827645078587466,
  "faltings_height": 2.7099596656739173,
  "conductor": "116462385836476164",
  "bad_primes": [
    "2",
    "3",
    "23",
    "197",
    "12553"
  ],
  "discriminant": "-1018812951297493482672",
  "regulator": "51737.47094497864172602920359774872657433568898047998",
  "points": [
    [
      "-1146",
      "5535"
    ],
    [
      "-1010",
      "22481"
    ],
    [
      "150",
      "39231"
    ],
    [
      "852",
      "46413"
    ],
    [
      "1122",
      "54297"
    ],
    [
      "3390",
      "201231"
    ],
    [
      "8007",
      "717552"
    ]
  ],
  "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^3-56877643, giving y^2=x^3+1535696361. I recovered seven rational points with PARI/GP and checked them exactly on this minimal model. PARI/GP returned matching rank bounds [7,7]. Rational torsion trivial. Source-attributed existing curve.",
  "created_at": "2026-10-20 21:38:49",
  "updated_at": "2026-10-20 21:38:49"
}