{
  "id": 1578,
  "curve_key": "7053229671798163892977:-592315824663266693176614605136841",
  "ainvs": [
    "1",
    "0",
    "0",
    "-146942284829128414437",
    "685550722977646815589024721409"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    9
  ],
  "naive_height": 150.92331772282182,
  "faltings_height": 10.259784699122735,
  "conductor": "6506456382426",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "13",
    "17",
    "37",
    "409",
    "4211"
  ],
  "discriminant": "26838996413435023785467398388448209415691617894923687952384",
  "regulator": "147.93569104357367728523511792948554245800478",
  "points": [
    [
      "332885313042/49",
      "9873615403633281/343"
    ],
    [
      "8250467442",
      "186595077284007"
    ],
    [
      "7090673730",
      "11544794898567"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/9. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:21:29",
  "updated_at": "2026-09-25 01:21:29"
}