{
  "id": 1476,
  "curve_key": "-39629026548021023:-16192706173593655948508881",
  "ainvs": [
    "1",
    "0",
    "0",
    "825604719750438",
    "18741558140089346956644"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    9
  ],
  "naive_height": 116.09320627302152,
  "faltings_height": 7.754292573781272,
  "conductor": "1581037158",
  "bad_primes": [
    "2",
    "3",
    "19",
    "23",
    "37",
    "43",
    "379"
  ],
  "discriminant": "-187754354257661051435207917612407890833179672576",
  "regulator": "188.774753849304110714665674141181445096085",
  "points": [
    [
      "-10824589068/4489",
      "38910200885526546/300763"
    ],
    [
      "-117205625284552524/7758967225",
      "-36308902188354108898598754/683448628014125"
    ]
  ],
  "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 00:20:19",
  "updated_at": "2026-09-25 00:20:19"
}