{
  "id": 3347,
  "curve_key": "96230963776:-23473937388147200",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-2004811745",
    "27169577284641"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "naive_height": 75.87005103480845,
  "faltings_height": 4.334410837900935,
  "conductor": "91109902081901376",
  "bad_primes": [
    "2",
    "3",
    "17",
    "89",
    "223",
    "257",
    "3617"
  ],
  "discriminant": "196823683706795970083091873792",
  "regulator": "11381785.6965470785016352283955406762578272205266959358",
  "points": [
    [
      "-2909",
      "5742556"
    ],
    [
      "-43377",
      "-5702088"
    ],
    [
      "-29697",
      "-7779168"
    ],
    [
      "-5912",
      "6230197"
    ],
    [
      "41983",
      "-4122848"
    ],
    [
      "-15089",
      "-7347416"
    ],
    [
      "36003",
      "1287132"
    ],
    [
      "35416",
      "-766781"
    ]
  ],
  "submitter": "David Renshaw",
  "history": [],
  "commentary": "Rationally isogenous to curve#1353 (isogeny class computed with PARI/GP ellisomat; global minimal model). The witnesses are the images of that curve's witnesses under the isogeny, so they remain independent and the rank bound 8 carries over. Torsion ℤ/2ℤ.",
  "created_at": "2026-09-26 21:06:49",
  "updated_at": "2026-09-26 21:06:49"
}