{
  "id": 1268,
  "curve_key": "13069825:-26417110625",
  "ainvs": [
    "1",
    "1",
    "1",
    "-272288",
    "30461906"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "naive_height": 49.15745008820789,
  "faltings_height": 2.14225537608384,
  "conductor": "1049432925",
  "bad_primes": [
    "3",
    "5",
    "31",
    "41",
    "101",
    "109"
  ],
  "discriminant": "888152793608109375",
  "regulator": "39.6835481985993633189419411268445159825615151781",
  "points": [
    [
      "60",
      "3757"
    ],
    [
      "464",
      "-2303"
    ],
    [
      "4605",
      "308272"
    ],
    [
      "565",
      "-7858"
    ],
    [
      "-520",
      "5897"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 17:15:54",
  "updated_at": "2026-09-24 17:15:54"
}