{
  "id": 1478,
  "curve_key": "2130439178139201:-98334000554670065448801",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-44384149544567",
    "113812511738016628559"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    9
  ],
  "naive_height": 105.88531362089469,
  "faltings_height": 6.276674377245454,
  "conductor": "409799790",
  "bad_primes": [
    "2",
    "3",
    "5",
    "17",
    "19",
    "37",
    "127"
  ],
  "discriminant": "51727376376891321596610048000000000",
  "regulator": "38.9196469851584430859088729479588677760990",
  "points": [
    [
      "44635753/9",
      "106837934782/27"
    ],
    [
      "376850069523/97969",
      "-48663447272498/30664297"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/9. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 00:22:19",
  "updated_at": "2026-09-25 00:22:19"
}