{
  "id": 1734,
  "curve_key": "659357521:-10137593614681",
  "ainvs": [
    "1",
    "0",
    "0",
    "-13736615",
    "11732181225"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    10
  ],
  "naive_height": 60.92032939752399,
  "faltings_height": 3.1184269615744107,
  "conductor": "94710",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "41"
  ],
  "discriminant": "106415753000070937500000",
  "regulator": "2.953084209848756920332794352327255756618",
  "points": [
    [
      "-3920",
      "75085"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization u=-1/6 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 10:33:18",
  "updated_at": "2026-09-25 10:33:18"
}