{
  "id": 2184,
  "curve_key": "478947957918941113541781961655152140961:-10470434749623020679709341318173387398227407409312608420209",
  "ainvs": [
    "1",
    "0",
    "0",
    "-9978082456644606532120457534482336270",
    "12118558737989607267350601135758073759160572299571620612"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    8,
    2
  ],
  "naive_height": 267.19396587582946,
  "faltings_height": 20.042291571744595,
  "conductor": "254711946927568865593530",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "19",
    "47",
    "73",
    "313",
    "5503",
    "14593",
    "43543"
  ],
  "discriminant": "136815558058183714799292060601468673257315273517022332204047654092804848840545882480083862841450718731886240000",
  "regulator": "403565.96025226647030402892142366643030117602",
  "points": [
    [
      "64935066190938207177379921809620324336417876/38334673696173434639203369",
      "65856901684133496078852002264730967351861454596251807552291945974/237349136666849357523634570372143855403"
    ],
    [
      "12778692524551274601846592078841174742602753512/1745809761812003076444759729",
      "1327613229257136573838681932815478197257627319929587909972495605591642/72944974419623675473252095060997029084567"
    ],
    [
      "359051941184400968436675916287612822567566985575036/33554076578440432506346355899225",
      "6535484414783710408702686612744978642320928319784476158335695253889445283914/194364943774259187095447069125475692174244412125"
    ]
  ],
  "submitter": "Tom Fisher",
  "history": [],
  "commentary": "Found by Fisher (2009)",
  "created_at": "2026-09-26 17:25:32",
  "updated_at": "2026-09-26 17:25:32"
}