{
  "id": 4798,
  "curve_key": "0:49142283552",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-56877643"
  ],
  "rank_lower_bound": 7,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 49.23597134657881,
  "faltings_height": 2.1606535213398623,
  "conductor": "116462385836476164",
  "bad_primes": [
    "2",
    "3",
    "23",
    "197",
    "12553"
  ],
  "discriminant": "-1397548630037713968",
  "regulator": "155212.4128349359251780876107932461797230070669414399",
  "points": [
    [
      "403",
      "2928"
    ],
    [
      "1363",
      "49752"
    ],
    [
      "2707",
      "140640"
    ],
    [
      "1697/4",
      "35311/8"
    ],
    [
      "2017/4",
      "67569/8"
    ],
    [
      "3481/4",
      "196317/8"
    ],
    [
      "6337/16",
      "146655/64"
    ]
  ],
  "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^3-56877643. 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 21:37:09",
  "updated_at": "2026-10-20 21:37:09"
}