{
  "id": 1314,
  "curve_key": "31827883977:-5678656905686661",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-663080916",
    "6572685336996"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    3
  ],
  "naive_height": 72.55098227883235,
  "faltings_height": 3.7339314858411163,
  "conductor": "13095819956898",
  "bad_primes": [
    "2",
    "3",
    "7",
    "19",
    "43",
    "127",
    "379",
    "881"
  ],
  "discriminant": "-2920067751842641348104996",
  "regulator": "17231.032316116977881795312184102780598498603788274",
  "points": [
    [
      "16720",
      "391614"
    ],
    [
      "-1781",
      "2784410"
    ],
    [
      "133741/9",
      "413005/27"
    ],
    [
      "371254/25",
      "1942032/125"
    ],
    [
      "595/4",
      "20354737/8"
    ],
    [
      "304351/25",
      "68213934/125"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:30:36",
  "updated_at": "2026-09-24 17:30:36"
}