{
  "id": 1649,
  "curve_key": "53532894001:-9955660637630249",
  "ainvs": [
    "1",
    "1",
    "1",
    "-1115268625",
    "11522290672367"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4
  ],
  "naive_height": 74.11068642915356,
  "faltings_height": 4.183570225214966,
  "conductor": "274613993610",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "17",
    "89",
    "550009"
  ],
  "discriminant": "31422351001431807466536960000",
  "regulator": "134.052509624604140500266685617992810335468836016",
  "points": [
    [
      "95825",
      "-28058082"
    ],
    [
      "455",
      "3318648"
    ],
    [
      "296563/9",
      "87263752/27"
    ],
    [
      "-15253",
      "5006136"
    ],
    [
      "-37319",
      "-1063136"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/4. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 02:24:20",
  "updated_at": "2026-09-25 02:24:20"
}