{
  "id": 1805,
  "curve_key": "2176:-99424",
  "ainvs": [
    "0",
    "1",
    "0",
    "-45",
    "100"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    6
  ],
  "naive_height": 23.0557308239275,
  "faltings_height": -0.1814294486086443,
  "conductor": "220",
  "bad_primes": [
    "2",
    "5",
    "11"
  ],
  "discriminant": "242000",
  "regulator": "0.7313571222316228603624893730131855052390",
  "points": [
    [
      "-7",
      "11"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=8/1 of Eroshkin's exact rank-3 family with torsion Z/6Z (Dujella-Peral-Tadic, sec 5).",
  "created_at": "2026-09-25 15:06:51",
  "updated_at": "2026-09-25 15:06:51"
}