{
  "id": 3454,
  "curve_key": "137705627908358377:-51100780903194041321450869",
  "ainvs": [
    "1",
    "0",
    "1",
    "-2868867248090800",
    "59144422102587499373742"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    3
  ],
  "naive_height": 118.39168402162578,
  "faltings_height": 7.320023968090572,
  "conductor": "60043617650386502762",
  "bad_primes": [
    "2",
    "7",
    "19",
    "31",
    "43",
    "61",
    "113",
    "181",
    "227",
    "229",
    "373"
  ],
  "discriminant": "-14828918299984568256464127905655396180976",
  "regulator": "332063.395026845275606758606493884562886955816815383017",
  "points": [
    [
      "32488005",
      "-15207647377"
    ],
    [
      "29241741",
      "-16069530469"
    ],
    [
      "-2983179",
      "-260145040693"
    ],
    [
      "56534405",
      "278623009071"
    ],
    [
      "-6845035",
      "-280105838517"
    ],
    [
      "-52636251",
      "253636575179"
    ],
    [
      "57179342805/1849",
      "-2646547957759/79507"
    ],
    [
      "772785561/25",
      "13268528419/125"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-27 05:37:42",
  "updated_at": "2026-09-27 05:37:42"
}