{
  "id": 1747,
  "curve_key": "1860481:-20021325121",
  "ainvs": [
    "1",
    "0",
    "0",
    "-38760",
    "23169600"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    7
  ],
  "naive_height": 47.440127597006345,
  "faltings_height": 2.011023735102042,
  "conductor": "19110",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13"
  ],
  "discriminant": "-228248616960000000",
  "regulator": "1.756687476506952471715313777825798033722",
  "points": [
    [
      "-330",
      "390"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=8/3 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 10:47:28",
  "updated_at": "2026-09-25 10:47:28"
}