{
  "id": 1367,
  "curve_key": "555748633216:-278320011932970080",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-11578096525",
    "322133502806446"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    2
  ],
  "naive_height": 81.1307457913118,
  "faltings_height": 4.793521851624127,
  "conductor": "1541137965099140472324",
  "bad_primes": [
    "2",
    "3",
    "13",
    "17",
    "31",
    "71",
    "73",
    "83",
    "373",
    "3877",
    "30133"
  ],
  "discriminant": "54504961092793222771001818270032",
  "regulator": "229246.60200025740311989289892968172322417360292118561328",
  "points": [
    [
      "-82049",
      "26827989"
    ],
    [
      "-37177",
      "-26479947"
    ],
    [
      "218031",
      "-90345749"
    ],
    [
      "-72801",
      "27913813"
    ],
    [
      "103574",
      "-15298062"
    ],
    [
      "2405081",
      "-3726185151"
    ],
    [
      "-1030535/9",
      "326890603/27"
    ],
    [
      "578251",
      "432410661"
    ],
    [
      "2255419/25",
      "430605903/125"
    ]
  ],
  "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 17:39:43",
  "updated_at": "2026-09-24 17:39:43"
}