{
  "id": 1729,
  "curve_key": "74955841:-669138198625",
  "ainvs": [
    "1",
    "0",
    "0",
    "-1561580",
    "774335376"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    10
  ],
  "naive_height": 54.458512901332476,
  "faltings_height": 2.4530236530047835,
  "conductor": "32718",
  "bad_primes": [
    "2",
    "3",
    "7",
    "19",
    "41"
  ],
  "discriminant": "-15402588724729479168",
  "regulator": "1.759615939446467824555384797421523585111",
  "points": [
    [
      "-992",
      "37204"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization u=-7/1 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 10:32:35",
  "updated_at": "2026-09-25 10:32:35"
}