{
  "id": 1294,
  "curve_key": "45463528921:-9693813964797469",
  "ainvs": [
    "1",
    "0",
    "1",
    "-947156853",
    "11219613159148"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    3
  ],
  "naive_height": 73.62052883791428,
  "faltings_height": 3.645459791064535,
  "conductor": "80164811910",
  "bad_primes": [
    "2",
    "3",
    "5",
    "67",
    "109",
    "367",
    "997"
  ],
  "discriminant": "8436077873436708418500",
  "regulator": "312.408352445767998476527826993137270737133542892",
  "points": [
    [
      "17537",
      "44532"
    ],
    [
      "17783",
      "-5652"
    ],
    [
      "870431/49",
      "-2889720/343"
    ],
    [
      "15902",
      "415350"
    ],
    [
      "17609",
      "27930"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:27:12",
  "updated_at": "2026-09-24 17:27:12"
}