{
  "id": 4717,
  "curve_key": "0:-1173792384",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "1358556"
  ],
  "rank_lower_bound": 6,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 41.76701139547791,
  "faltings_height": 1.5382401920814541,
  "conductor": "49833208938672",
  "bad_primes": [
    "2",
    "3",
    "113213"
  ],
  "discriminant": "-797331343018752",
  "regulator": "5949.3459158112009516773871142764891323717318315581",
  "points": [
    [
      "-110",
      "166"
    ],
    [
      "-86",
      "850"
    ],
    [
      "-11",
      "1165"
    ],
    [
      "10",
      "1166"
    ],
    [
      "82",
      "1382"
    ],
    [
      "-47/4",
      "9319/8"
    ]
  ],
  "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. The Mordell curve y^2=x^3+1358556. 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 21:25:41",
  "updated_at": "2026-10-20 21:25:41"
}