{
  "id": 1633,
  "curve_key": "203921202137133251233:-8621393854225468345176934393201",
  "ainvs": [
    "1",
    "0",
    "0",
    "-4248358377856942734",
    "9978465108703225164318558468"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    8
  ],
  "naive_height": 142.46359912290217,
  "faltings_height": 9.92548084296075,
  "conductor": "1623822158052798",
  "bad_primes": [
    "2",
    "3",
    "11",
    "17",
    "19",
    "29",
    "59",
    "197",
    "225983"
  ],
  "discriminant": "-38106829829732624022095463938849933861010711560275579961088",
  "regulator": "3050.020474567509033265607333937091548656339520",
  "points": [
    [
      "59773103676/25",
      "14517471360859434/125"
    ],
    [
      "59305849709568/26569",
      "466774707651445653834/4330747"
    ],
    [
      "-1778503692",
      "109127627147178"
    ],
    [
      "4098598812",
      "247821498306162"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/8. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:58:43",
  "updated_at": "2026-09-25 01:58:43"
}