{
  "id": 1746,
  "curve_key": "11041:-1163825",
  "ainvs": [
    "1",
    "1",
    "1",
    "-230",
    "1251"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    5
  ],
  "naive_height": 27.93444510465634,
  "faltings_height": 0.1451062029942517,
  "conductor": "302",
  "bad_primes": [
    "2",
    "151"
  ],
  "discriminant": "-4947968",
  "regulator": "1.155798972133439051127164489667020635657",
  "points": [
    [
      "-15",
      "47"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=-1/8 of the Kubert-Tate torsion Z/5 universal family y^2+(t+1)xy+ty=x^3+tx^2.",
  "created_at": "2026-09-25 10:42:51",
  "updated_at": "2026-09-25 10:42:51"
}