{
  "id": 1652,
  "curve_key": "-2115233775:-863567848121625",
  "ainvs": [
    "1",
    "-1",
    "1",
    "44067370",
    "999488807372"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4
  ],
  "naive_height": 68.78418716763562,
  "faltings_height": 3.791607705999539,
  "conductor": "41419028475",
  "bad_primes": [
    "3",
    "5",
    "11",
    "23",
    "47",
    "113",
    "137"
  ],
  "discriminant": "-437044812914183389314609375",
  "regulator": "369.382143411083152420485194584344016778637293883",
  "points": [
    [
      "1188",
      "1025815"
    ],
    [
      "15765/16",
      "65357047/64"
    ],
    [
      "-1029/4",
      "7953425/8"
    ],
    [
      "-6816",
      "621820"
    ],
    [
      "774",
      "1016500"
    ]
  ],
  "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 02:27:24",
  "updated_at": "2026-09-25 02:27:24"
}