{
  "id": 1223,
  "curve_key": "5359299522969:-12539319561757703997",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-111652073395",
    "14513129257645321"
  ],
  "rank_lower_bound": 14,
  "torsion": [],
  "naive_height": 87.95080189240512,
  "faltings_height": 5.196634015085152,
  "conductor": "191217850521411534913210243850810",
  "bad_primes": [
    "2",
    "5",
    "19121785052141153491321024385081"
  ],
  "discriminant": "-1912178505214115349132102438508100",
  "regulator": "12686311134.4129539202070675685674075829882232004748997015421824297",
  "points": [
    [
      "212688",
      "19571891"
    ],
    [
      "176798",
      "-17394809"
    ],
    [
      "165628",
      "-23831739"
    ],
    [
      "-56792",
      "143802171"
    ],
    [
      "127505",
      "-48538851"
    ],
    [
      "537563",
      "-331681829"
    ],
    [
      "175073",
      "18131341"
    ],
    [
      "-301762",
      "144119191"
    ],
    [
      "1828039/9",
      "392736494/27"
    ],
    [
      "233208",
      "-34148579"
    ],
    [
      "1483348",
      "1763552741"
    ],
    [
      "111753",
      "58521586"
    ],
    [
      "114846",
      "-56671013"
    ],
    [
      "173713",
      "18878621"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 14:27:07",
  "updated_at": "2026-09-24 14:27:07"
}