{
  "id": 1132,
  "curve_key": "-95792:-89475200",
  "ainvs": [
    "0",
    "-1",
    "0",
    "1996",
    "102894"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2
  ],
  "naive_height": 36.61894409975022,
  "faltings_height": 1.1209786164612419,
  "conductor": "13217088",
  "bad_primes": [
    "2",
    "3",
    "23",
    "41",
    "73"
  ],
  "discriminant": "-5141671922496",
  "regulator": "385.8376612454826152965149916102298049028788583",
  "points": [
    [
      "4141/36",
      "293095/216"
    ],
    [
      "67",
      "730"
    ],
    [
      "124041/3136",
      "86420475/175616"
    ],
    [
      "22766151/290521",
      "134191836360/156590819"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Obtained by computing a rational isogeny from curve#14 and mapping all 4 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 21:37:03",
  "updated_at": "2026-09-23 21:37:03"
}