{
  "id": 1775,
  "curve_key": "32176:-5777432",
  "ainvs": [
    "0",
    "-1",
    "1",
    "-670",
    "6910"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    5
  ],
  "naive_height": 31.138939702529566,
  "faltings_height": 0.36851055230439517,
  "conductor": "2651",
  "bad_primes": [
    "11",
    "241"
  ],
  "discriminant": "-38813291",
  "regulator": "4.052602035330128149901099613606017230986",
  "points": [
    [
      "85/4",
      "337/8"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=-1/11 of the Kubert-Tate torsion Z/5 universal family y^2+(t+1)xy+ty=x^3+tx^2.",
  "created_at": "2026-09-25 14:25:44",
  "updated_at": "2026-09-25 14:25:44"
}