{
  "id": 6197,
  "curve_key": "2699688537:-135828620094429",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-56243511",
    "157223111913"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 65.14920673990781,
  "faltings_height": 3.3466414488845055,
  "conductor": "44994546",
  "bad_primes": [
    "2",
    "3",
    "17",
    "19",
    "71",
    "109"
  ],
  "discriminant": "709939266885177481162404",
  "regulator": "13.03070158699445415929240009974197225444162543",
  "points": [
    [
      "-2238",
      "522543"
    ],
    [
      "1911/4",
      "2887647/8"
    ],
    [
      "5004",
      "30087"
    ],
    [
      "-38223/64",
      "223680843/512"
    ]
  ],
  "submitter": "Andrii Prokhorenkov",
  "history": [],
  "commentary": "Specialization at T = -40/17 of the elliptic fibration of X648 given by:\ny^2 + (Lx+B)y = x^3,\nwhere\nL = -152T^2 + 280T - 200,\nB = 432000T^5 - 1539000T^4 + 1782000T^3 - 675000T^2.",
  "created_at": "2026-10-30 15:41:22",
  "updated_at": "2026-10-30 15:41:22"
}