{
  "id": 2182,
  "curve_key": "4693764198486541977855609669888878401:-5350422422077567527113127444154428787269943780034277601",
  "ainvs": [
    "1",
    "0",
    "0",
    "-97786754135136291205325201456018300",
    "6192618544071258703787593919472934977414964438890000"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    8,
    2
  ],
  "naive_height": 253.3178946278656,
  "faltings_height": 19.158622521977406,
  "conductor": "325662549659052936330",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "23",
    "79",
    "101",
    "223",
    "313",
    "49801"
  ],
  "discriminant": "43277361908658275888523345412176539504875801138769112216765897641050488977184904087439362560000000000000000",
  "regulator": "41899.606156121155751078667372661797846029549",
  "points": [
    [
      "274887906914724556",
      "-9147492786135424992704588"
    ],
    [
      "62718943759824249209034178076092600/1241034587031947761",
      "-51354834432149065162729129239810440358544450486369700/1382534023431602612057272759"
    ],
    [
      "30248369105401958555069911173485380/89681232159126001",
      "2890206598473212141332130140412636902647519116897480/26856681562855952889842249"
    ]
  ],
  "submitter": "Tom Fisher",
  "history": [],
  "commentary": "Found by Flores - Jones - Rollick - Weigandt - Rathbun (2007)",
  "created_at": "2026-09-26 17:14:28",
  "updated_at": "2026-09-26 17:14:28"
}