{
  "id": 3453,
  "curve_key": "4672882976112:-2788215509964298464",
  "ainvs": [
    "0",
    "0",
    "0",
    "-97351728669",
    "3227101284680901"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    3
  ],
  "naive_height": 87.51839201031652,
  "faltings_height": 5.3566404526324325,
  "conductor": "18292854230884044",
  "bad_primes": [
    "2",
    "3",
    "7",
    "17",
    "19",
    "29",
    "53",
    "560227"
  ],
  "discriminant": "54549859578690223898381758910889744",
  "regulator": "5554.969579546928969014904601221197214125921886135657",
  "points": [
    [
      "-224135",
      "117419221"
    ],
    [
      "-107532",
      "111589071"
    ],
    [
      "40977/4",
      "377857617/8"
    ],
    [
      "-306443",
      "65441719"
    ],
    [
      "941895",
      "864378039"
    ],
    [
      "349855",
      "109498159"
    ],
    [
      "-141243",
      "118994169"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-27 05:37:31",
  "updated_at": "2026-09-27 05:37:31"
}