{
  "id": 2054,
  "curve_key": "743198536336:-229598677851742016",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-15483302840",
    "265744371577500"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2,
    2
  ],
  "naive_height": 82.00268716510841,
  "faltings_height": 4.893492720469391,
  "conductor": "6234348120",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "43",
    "71"
  ],
  "discriminant": "207051937125918643828750346265600",
  "regulator": "626.9284498334527411315017591882155201543055163",
  "points": [
    [
      "121757",
      "13621608"
    ],
    [
      "2323305/16",
      "-2102396205/64"
    ],
    [
      "-112095",
      "24348030"
    ],
    [
      "4559485/36",
      "3961343825/216"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1684 (Michael Rubinstein).",
  "created_at": "2026-09-26 05:10:02",
  "updated_at": "2026-09-26 05:10:02"
}