{
  "id": 1650,
  "curve_key": "160047704128:-63837494268936704",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-3334327169",
    "73887100179585"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4
  ],
  "naive_height": 77.39621327562637,
  "faltings_height": 4.264698056604821,
  "conductor": "319218478656",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "17",
    "73",
    "127",
    "137"
  ],
  "discriminant": "14142994751545451231323226112",
  "regulator": "397.596760161882866332682515133115711825630081543",
  "points": [
    [
      "67",
      "8582756"
    ],
    [
      "36481",
      "892976"
    ],
    [
      "38465",
      "1594320"
    ],
    [
      "6280121/121",
      "8485044624/1331"
    ],
    [
      "2447",
      "8108184"
    ]
  ],
  "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 02:25:22",
  "updated_at": "2026-09-25 02:25:22"
}