{
  "id": 1360,
  "curve_key": "6409502343775742841:-16226910675328392689016301389",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-133531298828661309",
    "18781146648346242171304565"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    3
  ],
  "naive_height": 129.91293991300492,
  "faltings_height": 8.403797701075655,
  "conductor": "476332283040496536245130",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "71",
    "397",
    "503",
    "733",
    "104982139"
  ],
  "discriminant": "435446297061877384450523329023413513963678250000",
  "regulator": "921791.112961269549858941685390268236293916129379629568",
  "points": [
    [
      "211229510",
      "3661749615"
    ],
    [
      "1861292374/9",
      "2813349458389/27"
    ],
    [
      "231657346",
      "528619421887"
    ],
    [
      "216657886",
      "143409718507"
    ],
    [
      "208750726",
      "-55722478673"
    ],
    [
      "-179756414",
      "6080870962207"
    ],
    [
      "5654724286/25",
      "-48425687432149/125"
    ],
    [
      "210493621",
      "10835195587"
    ]
  ],
  "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 17:38:30",
  "updated_at": "2026-09-24 17:38:30"
}