{
  "id": 1183,
  "curve_key": "35937237792004329601:-483535059858100870089618886849",
  "ainvs": [
    "1",
    "0",
    "0",
    "-748692454000090200",
    "559647059958559043288903232"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    8
  ],
  "naive_height": 136.7018426714735,
  "faltings_height": 9.440476490968289,
  "conductor": "931401536730",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "29",
    "79",
    "263",
    "433"
  ],
  "discriminant": "-108445456250959127892349568038660212751593141499330560000",
  "regulator": "3563.0723504771183700436091068939908207856682",
  "points": [
    [
      "40647122356/9",
      "-8068498576416644/27"
    ],
    [
      "-2048621374634064/3073009",
      "-148750093399880187578904/5386984777"
    ],
    [
      "2182664073396/2809",
      "-3147802599391988124/148877"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Obtained by computing a rational isogeny from curve#1087 and mapping all 3 independent witness points to the global minimal model. Isogenies preserve the Mordell-Weil rank; the image points are independently certified by the site verifier. Torsion computed exactly with PARI/GP elltors. Conductor is unchanged by the isogeny.",
  "created_at": "2026-09-23 21:38:38",
  "updated_at": "2026-09-23 21:38:38"
}