{
  "id": 1479,
  "curve_key": "561612946420737:-13309313900330937241089",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-11700269717099",
    "15404301420820828859"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    9
  ],
  "naive_height": 101.88550207253945,
  "faltings_height": 5.943235023336044,
  "conductor": "52712478",
  "bad_primes": [
    "2",
    "3",
    "7",
    "13",
    "17",
    "631"
  ],
  "discriminant": "-941629261925919531418245981536256",
  "regulator": "49.7698717318076939956745683244772893322515",
  "points": [
    [
      "20927608827/10609",
      "4877881595590/1092727"
    ],
    [
      "7347872979/3721",
      "-331586257454/226981"
    ]
  ],
  "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 00:23:18",
  "updated_at": "2026-09-25 00:23:18"
}