{
  "id": 1732,
  "curve_key": "568455361:-13131620900641",
  "ainvs": [
    "1",
    "0",
    "0",
    "-11842820",
    "15197648400"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    10
  ],
  "naive_height": 60.47530004221059,
  "faltings_height": 2.9562987849383155,
  "conductor": "29370",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "89"
  ],
  "discriminant": "6511602493440000000000",
  "regulator": "1.890014365747455248108585236245575910445",
  "points": [
    [
      "-3410",
      "127930"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization u=-1/9 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 10:33:00",
  "updated_at": "2026-09-25 10:33:00"
}