{
  "id": 1357,
  "curve_key": "29669768054453425:-5110587448618763521765225",
  "ainvs": [
    "1",
    "0",
    "0",
    "-618120167801113",
    "5915031717724666018617"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    3
  ],
  "naive_height": 113.78671503501606,
  "faltings_height": 7.049371944157166,
  "conductor": "325040992823102890550",
  "bad_primes": [
    "2",
    "5",
    "73",
    "127",
    "137",
    "1423",
    "1451",
    "1459",
    "1699"
  ],
  "discriminant": "28036239626257863184554820025491681280000",
  "regulator": "477233.701896947959897615295202402904427977392292230497",
  "points": [
    [
      "14330982",
      "-139478721"
    ],
    [
      "14370986",
      "-89673741"
    ],
    [
      "14430992",
      "-506815451"
    ],
    [
      "9330482",
      "30978632779"
    ],
    [
      "14395098",
      "251607507"
    ],
    [
      "776420282/49",
      "3411284199861/343"
    ],
    [
      "14342372",
      "-27927741"
    ],
    [
      "12430792",
      "-12341998851"
    ]
  ],
  "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 17:38:00",
  "updated_at": "2026-09-24 17:38:00"
}