{
  "id": 2818,
  "curve_key": "291598269025:94766578947607375",
  "ainvs": [
    "1",
    "1",
    "1",
    "-6074963938",
    "-109686071683594"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2,
    2
  ],
  "naive_height": 79.19592870280512,
  "faltings_height": 4.641055103386611,
  "conductor": "47961031575",
  "bad_primes": [
    "3",
    "5",
    "29",
    "181",
    "4201"
  ],
  "discriminant": "9151484523071323132144297265625",
  "regulator": "2417.82385641394809644115777002467079828703694930",
  "points": [
    [
      "1667909/16",
      "1260331407/64"
    ],
    [
      "-49661725/1156",
      "-332687539827/39304"
    ],
    [
      "-20521",
      "2527632"
    ],
    [
      "4963100/49",
      "-6096697209/343"
    ],
    [
      "7882811",
      "-22134910230"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#1707 via the rational 2-torsion point x=33265. 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 20:23:48",
  "updated_at": "2026-09-26 20:23:48"
}