{
  "id": 2886,
  "curve_key": "-2532395766021932862959:-451146371467145297936761625303161",
  "ainvs": [
    "1",
    "0",
    "0",
    "52758245125456934645",
    "522160152165444318965039959025"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    6
  ],
  "naive_height": 150.3786892507543,
  "faltings_height": 10.598196653020537,
  "conductor": "48851058662780160570",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "19",
    "23",
    "31",
    "271",
    "277",
    "367",
    "623299"
  ],
  "discriminant": "-127183665649418728457393294997146577614890243544921731479744000",
  "regulator": "1707394.9859551542113914684349206640078650516876487",
  "points": [
    [
      "645635300",
      "-745984147972645"
    ],
    [
      "18302316176750/2209",
      "128339359613087441935/103823"
    ],
    [
      "11524890140",
      "1631240596362065"
    ],
    [
      "1014237515509/144",
      "-1926675790963603189/1728"
    ],
    [
      "314140258000/169",
      "-1739175231348277715/2197"
    ],
    [
      "13579455966080/289",
      "50759260257258338185/4913"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1914 via the rational 2-torsion point x=2967450110. Independent witness points are the images of that curve's witnesses under the degree-2 isogeny. Witnesses saturated by exact rational halves of published and transported relations; quadratic-character independence is certified.",
  "created_at": "2026-09-26 20:26:51",
  "updated_at": "2026-09-26 20:26:51"
}