{
  "id": 776,
  "curve_key": "140051856:-2045309439960",
  "ainvs": [
    "0",
    "0",
    "1",
    "-2917747",
    "2367256296"
  ],
  "rank_lower_bound": 10,
  "torsion": [],
  "naive_height": 56.69314041872032,
  "faltings_height": 2.728083018632296,
  "conductor": "48891627275709988459",
  "bad_primes": [
    "17",
    "2875978075041764027"
  ],
  "discriminant": "-831157663687069803803",
  "regulator": "558360.1510373588121729015105383838891256400499724210071235",
  "points": [
    [
      "324",
      "38156"
    ],
    [
      "86",
      "46010"
    ],
    [
      "1089",
      "21938"
    ],
    [
      "545",
      "30642"
    ],
    [
      "4557",
      "289314"
    ],
    [
      "-2005",
      "12537"
    ],
    [
      "2874",
      "133118"
    ],
    [
      "1446",
      "34229"
    ],
    [
      "2347",
      "91910"
    ],
    [
      "1667",
      "46214"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-18 12:38:12",
  "updated_at": "2026-09-18 12:38:12"
}