{
  "id": 1580,
  "curve_key": "12789092976753260161:-45738202224833449078318377409",
  "ainvs": [
    "1",
    "0",
    "0",
    "-266439437015692920",
    "52937734034316909274523712"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    9
  ],
  "naive_height": 131.9854627888766,
  "faltings_height": 8.669930592937705,
  "conductor": "7366061010",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "37",
    "86183"
  ],
  "discriminant": "-108562464315113950137469766573501431676928000000000",
  "regulator": "55.532531778618806412444851980521151133759113",
  "points": [
    [
      "290634864",
      "224958242568"
    ],
    [
      "610400112",
      "10850086958088"
    ],
    [
      "49974590064",
      "11171199656853768"
    ]
  ],
  "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 01:21:49",
  "updated_at": "2026-09-25 01:21:49"
}