{
  "id": 1760,
  "curve_key": "-19765391:-7098988681",
  "ainvs": [
    "1",
    "0",
    "0",
    "411779",
    "8250737"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    7
  ],
  "naive_height": 50.3983291108829,
  "faltings_height": 2.2686095632921135,
  "conductor": "24882",
  "bad_primes": [
    "2",
    "3",
    "11",
    "13",
    "29"
  ],
  "discriminant": "-4497774542859970944",
  "regulator": "4.656059403588929656652412187209883027990",
  "points": [
    [
      "3446",
      "204071"
    ]
  ],
  "submitter": "hdeping",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-09-25 11:35:58"
    }
  ],
  "commentary": "Specialization t=11/2 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 11:26:34",
  "updated_at": "2026-09-25 11:35:57"
}