{
  "id": 3450,
  "curve_key": "781467848896:-687852831724052480",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-16280580185",
    "796131389503641"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    2
  ],
  "naive_height": 82.15331953714026,
  "faltings_height": 4.675771726641607,
  "conductor": "55660539421203992256",
  "bad_primes": [
    "2",
    "3",
    "41",
    "73",
    "97",
    "113",
    "127",
    "353",
    "439",
    "449"
  ],
  "discriminant": "2369585980829085281059075264512",
  "regulator": "278159.03332593483623556292694600291242969448058912411234",
  "points": [
    [
      "162743",
      "-49566612"
    ],
    [
      "45761",
      "-12121896"
    ],
    [
      "67877",
      "-1943880"
    ],
    [
      "842185/9",
      "259041608/27"
    ],
    [
      "95576",
      "10637409"
    ],
    [
      "-92755",
      "38835696"
    ],
    [
      "12005",
      "-24544104"
    ],
    [
      "41579",
      "13823232"
    ],
    [
      "81089",
      "3023832"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-27 05:35:42",
  "updated_at": "2026-09-27 05:35:42"
}