{
  "id": 1362,
  "curve_key": "2970345884939641:-161955274812623421994189",
  "ainvs": [
    "1",
    "0",
    "1",
    "-61882205936243",
    "187448229579982169658"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    3
  ],
  "naive_height": 106.88321433717259,
  "faltings_height": 6.650018655407515,
  "conductor": "669692943114425917310",
  "bad_primes": [
    "2",
    "5",
    "13",
    "37",
    "47",
    "97",
    "127",
    "241",
    "283",
    "367",
    "739"
  ],
  "discriminant": "-12895789489877475465585417637556756909500",
  "regulator": "238168.903647928945353930205889096673854879831582295126",
  "points": [
    [
      "4986489",
      "1689460460"
    ],
    [
      "87984729",
      "822063085050"
    ],
    [
      "564772459/121",
      "722581798570/1331"
    ],
    [
      "1454909",
      "-10025444170"
    ],
    [
      "6269589",
      "6772974350"
    ],
    [
      "4278989",
      "998940460"
    ],
    [
      "18272011/4",
      "-2405685485/8"
    ],
    [
      "5288349",
      "-2847088180"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:38:51",
  "updated_at": "2026-09-24 17:38:51"
}