{
  "id": 1759,
  "curve_key": "-20663231:-391788401761",
  "ainvs": [
    "1",
    "0",
    "0",
    "430484",
    "453494672"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    7
  ],
  "naive_height": 53.38797547914203,
  "faltings_height": 2.513469646021219,
  "conductor": "69366",
  "bad_primes": [
    "2",
    "3",
    "11",
    "1051"
  ],
  "discriminant": "-93935597925332680704",
  "regulator": "4.419910427424050058038709677326040411623",
  "points": [
    [
      "176",
      "23036"
    ]
  ],
  "submitter": "hdeping",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-09-25 11:35:34"
    }
  ],
  "commentary": "Specialization t=11/3 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 11:26:28",
  "updated_at": "2026-09-25 11:35:34"
}