{
  "id": 784,
  "curve_key": "67694333616:-17659690327236960",
  "ainvs": [
    "0",
    "0",
    "0",
    "-1410298617",
    "20439456397265"
  ],
  "rank_lower_bound": 12,
  "torsion": [],
  "naive_height": 74.82012210933742,
  "faltings_height": 4.045360211364401,
  "conductor": "26585567392338965114027388",
  "bad_primes": [
    "2",
    "3",
    "57107",
    "59827337",
    "72049863079"
  ],
  "discriminant": "-957080426124202744104985968",
  "regulator": "47954724.967147693597211555742337097933216294642704863874845754",
  "points": [
    [
      "22297",
      "281283"
    ],
    [
      "16153",
      "-1368771"
    ],
    [
      "19888",
      "507729"
    ],
    [
      "21979",
      "245031"
    ],
    [
      "20533",
      "372279"
    ],
    [
      "-39929",
      "3618213"
    ],
    [
      "18721",
      "773637"
    ],
    [
      "16867",
      "1204383"
    ],
    [
      "23416",
      "-505083"
    ],
    [
      "33463",
      "3273771"
    ],
    [
      "21251",
      "-257407"
    ],
    [
      "13663",
      "1929021"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-18 12:39:33",
  "updated_at": "2026-09-18 12:39:33"
}