{
  "id": 2049,
  "curve_key": "20944368:50082433920",
  "ainvs": [
    "0",
    "0",
    "0",
    "-436341",
    "-57965780"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2,
    2
  ],
  "naive_height": 50.57214101292626,
  "faltings_height": 2.263455595824999,
  "conductor": "124828704",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "13",
    "433"
  ],
  "discriminant": "3865360812729159744",
  "regulator": "331.4554957570816672633682798023427548459295235",
  "points": [
    [
      "-531",
      "4900"
    ],
    [
      "-555",
      "3640"
    ],
    [
      "2669",
      "133380"
    ],
    [
      "54805/9",
      "12752740/27"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1507 (hdeping).",
  "created_at": "2026-09-26 05:09:04",
  "updated_at": "2026-09-26 05:09:04"
}