{
  "id": 1229,
  "curve_key": "165721135220809:-2210359352395719646277",
  "ainvs": [
    "1",
    "1",
    "0",
    "-3452523650433",
    "2558284848943524873"
  ],
  "rank_lower_bound": 15,
  "torsion": [],
  "naive_height": 98.29488411616039,
  "faltings_height": 6.112792211924706,
  "conductor": "6450751441436292258960621122114716590",
  "bad_primes": [
    "2",
    "3",
    "5",
    "422368391",
    "509093607925495562550325183"
  ],
  "discriminant": "-193522543243088767768818633663441497700",
  "regulator": "261654713429.19523581205466767496778479590535255452037996604303377559",
  "points": [
    [
      "1112104",
      "-307384667"
    ],
    [
      "494436",
      "985707363"
    ],
    [
      "1586154",
      "-1036473567"
    ],
    [
      "-720557",
      "2161820587"
    ],
    [
      "1093029",
      "-301267587"
    ],
    [
      "1631799",
      "1125934143"
    ],
    [
      "235424",
      "1325976643"
    ],
    [
      "770379",
      "-596825742"
    ],
    [
      "889754",
      "-437221367"
    ],
    [
      "1918659",
      "-1732184862"
    ],
    [
      "1272554",
      "474263713"
    ],
    [
      "2168829",
      "2295029013"
    ],
    [
      "1074804",
      "-299063037"
    ],
    [
      "-81916",
      "-1685352797"
    ],
    [
      "4380084",
      "8451712713"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 14:36:10",
  "updated_at": "2026-09-24 14:36:10"
}