{
  "id": 1756,
  "curve_key": "1550929:-5363530201",
  "ainvs": [
    "1",
    "0",
    "0",
    "-32311",
    "6205097"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    7
  ],
  "naive_height": 44.805776429647956,
  "faltings_height": 1.7864979066585687,
  "conductor": "20622",
  "bad_primes": [
    "2",
    "3",
    "7",
    "491"
  ],
  "discriminant": "-14488936015970304",
  "regulator": "1.863909993412169308419122888711906726491",
  "points": [
    [
      "-58",
      "2837"
    ]
  ],
  "submitter": "hdeping",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-09-25 11:34:06"
    }
  ],
  "commentary": "Specialization t=7/3 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 11:26:07",
  "updated_at": "2026-09-25 11:34:06"
}