{
  "id": 1733,
  "curve_key": "582841681:-14067424202329",
  "ainvs": [
    "1",
    "0",
    "0",
    "-12142535",
    "16280729097"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    10
  ],
  "naive_height": 60.550278444777675,
  "faltings_height": 2.771853371294438,
  "conductor": "94710",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "41"
  ],
  "discriminant": "58723661173161600000",
  "regulator": "1.476542104924378460166397176163627878309",
  "points": [
    [
      "-3866",
      "75733"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization u=-7/5 of the X_1(10) universal curve for torsion Z/10Z (Halbeisen-Hungerbuehler-Voznyy-Zargar 2021, Thm 4), y^2+xy=x^3+A(u)x^2+B(u)x.",
  "created_at": "2026-09-25 10:33:08",
  "updated_at": "2026-09-25 10:33:08"
}