{
  "id": 1757,
  "curve_key": "-5309951:-13434382081",
  "ainvs": [
    "1",
    "0",
    "0",
    "110624",
    "15558272"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    7
  ],
  "naive_height": 46.642166169458996,
  "faltings_height": 2.0019287367287792,
  "conductor": "15918",
  "bad_primes": [
    "2",
    "3",
    "7",
    "379"
  ],
  "discriminant": "-191087828767269504",
  "regulator": "2.841313466265330574461603272493996234516",
  "points": [
    [
      "-34",
      "3446"
    ]
  ],
  "submitter": "hdeping",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-09-25 11:34:40"
    }
  ],
  "commentary": "Specialization t=9/2 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 11:26:14",
  "updated_at": "2026-09-25 11:34:40"
}