{
  "id": 1283,
  "curve_key": "1570630096:-44442711118144",
  "ainvs": [
    "0",
    "1",
    "0",
    "-32721460",
    "51427415900"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2,
    2
  ],
  "naive_height": 63.524228132475336,
  "faltings_height": 3.3198129045741607,
  "conductor": "69894829680",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "61",
    "181",
    "2029"
  ],
  "discriminant": "1099189623599147003040000",
  "regulator": "406.495024876651991501355820582416877003179199071",
  "points": [
    [
      "-2482",
      "342576"
    ],
    [
      "-16675/4",
      "2717715/8"
    ],
    [
      "9230",
      "732000"
    ],
    [
      "64130",
      "16177200"
    ],
    [
      "39950",
      "7906080"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2+Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:25:19",
  "updated_at": "2026-09-24 17:25:19"
}