{
  "id": 1481,
  "curve_key": "2474672067937:-430953912288398179729",
  "ainvs": [
    "1",
    "0",
    "0",
    "-51555668082",
    "498789246037488516"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    9
  ],
  "naive_height": 95.0250656524669,
  "faltings_height": 5.976440732485653,
  "conductor": "860458434",
  "bad_primes": [
    "2",
    "3",
    "11",
    "17",
    "19",
    "181",
    "223"
  ],
  "discriminant": "-107468819224750854630197648349890167296",
  "regulator": "91.8407390784931993851140724342193413729150",
  "points": [
    [
      "30177750/49",
      "286999382622/343"
    ],
    [
      "-6766290425604/38651089",
      "-170308079529362061138/240293820313"
    ]
  ],
  "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 00:25:19",
  "updated_at": "2026-09-25 00:25:19"
}