{
  "id": 1231,
  "curve_key": "64130545770816:-560603707696603467360",
  "ainvs": [
    "0",
    "0",
    "0",
    "-1336053036892",
    "648846883908105865"
  ],
  "rank_lower_bound": 15,
  "torsion": [],
  "naive_height": 95.55109185280443,
  "faltings_height": 5.926518924238748,
  "conductor": "7309765093248775744134541632103899692",
  "bad_primes": [
    "2",
    "1031",
    "1772493960535590626608763732323933"
  ],
  "discriminant": "-29239060372995102976538166528415598768",
  "regulator": "408085263993.89964493360941877782671540877717660710192300102976320618",
  "points": [
    [
      "341734",
      "481851179"
    ],
    [
      "264036",
      "560792347"
    ],
    [
      "-448705",
      "-1076104090"
    ],
    [
      "-1262558",
      "568425317"
    ],
    [
      "697324",
      "237205259"
    ],
    [
      "722",
      "804911333"
    ],
    [
      "34176",
      "776676157"
    ],
    [
      "960464",
      "-501632861"
    ],
    [
      "782170",
      "-286966885"
    ],
    [
      "530696",
      "-298786163"
    ],
    [
      "1049884",
      "-635127979"
    ],
    [
      "733606",
      "252033323"
    ],
    [
      "691058",
      "235752421"
    ],
    [
      "1439756",
      "-1307563723"
    ],
    [
      "819054",
      "322504619"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 14:36:30",
  "updated_at": "2026-09-24 14:36:30"
}