{
  "id": 3452,
  "curve_key": "193025728:-2514200698880",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-4021369",
    "2911294969"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2,
    2
  ],
  "naive_height": 57.23500213105268,
  "faltings_height": 2.719991202466335,
  "conductor": "22447563072",
  "bad_primes": [
    "2",
    "3",
    "11",
    "19",
    "73",
    "79",
    "97"
  ],
  "discriminant": "503893087871418077184",
  "regulator": "160.664387578413539664983363484192298486395501446",
  "points": [
    [
      "4389",
      "264176"
    ],
    [
      "-1463",
      "75240"
    ],
    [
      "1463",
      "12540"
    ],
    [
      "-1615",
      "72048"
    ],
    [
      "2651",
      "104280"
    ]
  ],
  "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": "2026-09-27 05:37:21",
  "updated_at": "2026-09-27 05:37:21"
}