{
  "id": 1767,
  "curve_key": "112200529:-1188157912921",
  "ainvs": [
    "1",
    "0",
    "0",
    "-2337511",
    "1374987977"
  ],
  "rank_lower_bound": 1,
  "torsion": [
    7
  ],
  "naive_height": 55.607394797510295,
  "faltings_height": 2.361942073320689,
  "conductor": "42042",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "13"
  ],
  "discriminant": "444791982921302016",
  "regulator": "2.500424069463769808359948264774993172196",
  "points": [
    [
      "-1738",
      "14597"
    ]
  ],
  "submitter": "hdeping",
  "history": [],
  "commentary": "Specialization t=12/1 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 14:21:39",
  "updated_at": "2026-09-25 14:21:39"
}