{
  "id": 1368,
  "curve_key": "1230076367296:-448068392128148480",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-25626590985",
    "518606218271241"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    2
  ],
  "naive_height": 83.51429211185419,
  "faltings_height": 5.020861686918185,
  "conductor": "1643831925364091722944",
  "bad_primes": [
    "2",
    "3",
    "23",
    "41",
    "73",
    "113",
    "257",
    "809",
    "1783",
    "2969"
  ],
  "discriminant": "960907607489839771685555219238912",
  "regulator": "981799.41263873871966193456384841898983390765585368199413",
  "points": [
    [
      "280895",
      "-124432004"
    ],
    [
      "-11517",
      "-28499472"
    ],
    [
      "198877",
      "-57341280"
    ],
    [
      "185331",
      "46204344"
    ],
    [
      "-166551",
      "-12911832"
    ],
    [
      "9782459/25",
      "28063606952/125"
    ],
    [
      "64778621/289",
      "-381701159584/4913"
    ],
    [
      "-107419/4",
      "275673331/8"
    ],
    [
      "16961",
      "-9425104"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:39:54",
  "updated_at": "2026-09-24 17:39:54"
}