{
  "id": 1584,
  "curve_key": "84928:-21998080",
  "ainvs": [
    "0",
    "1",
    "0",
    "-1769",
    "24871"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2
  ],
  "naive_height": 34.04867735307564,
  "faltings_height": 0.8165474863587237,
  "conductor": "5360768",
  "bad_primes": [
    "2",
    "7",
    "31",
    "193"
  ],
  "discriminant": "74450345984",
  "regulator": "9.085577082654492814216268268904370878232315299",
  "points": [
    [
      "-45",
      "124"
    ],
    [
      "3",
      "140"
    ],
    [
      "-14",
      "217"
    ],
    [
      "141",
      "1612"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:22:30",
  "updated_at": "2026-09-25 01:22:30"
}