{
  "id": 1768,
  "curve_key": "245679409:-3850359687721",
  "ainvs": [
    "1",
    "0",
    "0",
    "-5118321",
    "4456008297"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    7
  ],
  "naive_height": 57.95861408557719,
  "faltings_height": 2.5310917166627376,
  "conductor": "71058",
  "bad_primes": [
    "2",
    "3",
    "13",
    "911"
  ],
  "discriminant": "2048285853033578496",
  "regulator": "3.144633053186350507522878582098657615508",
  "points": [
    [
      "-1794",
      "89583"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=13/1 of the universal X_1(7) Tate normal form family y^2+(-t^2+t+1)xy+(-t^3+t^2)y=x^3+(-t^3+t^2)x^2 (K3 elliptic surface, rational 7-torsion point (0,0)).",
  "created_at": "2026-09-25 14:21:53",
  "updated_at": "2026-09-25 14:21:53"
}