{
  "id": 2932,
  "curve_key": "55689752547735201:-12797743769594617190742801",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-1160203178077817",
    "14812203727081601453184"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2,
    2
  ],
  "naive_height": 115.67571764734387,
  "faltings_height": 7.548254241341296,
  "conductor": "305760573831635505",
  "bad_primes": [
    "3",
    "5",
    "11",
    "17",
    "19",
    "29",
    "41",
    "67",
    "97",
    "263",
    "941"
  ],
  "discriminant": "5168453182530359667259286979376250185297265625",
  "regulator": "6260.222633290468396315079053958922736648817391534860",
  "points": [
    [
      "11956373",
      "51468318693"
    ],
    [
      "24947072",
      "-37355491584"
    ],
    [
      "1182846533/49",
      "10124940487563/343"
    ],
    [
      "743084597/16",
      "-15821671232601/64"
    ],
    [
      "701309642",
      "-18551089938909"
    ],
    [
      "34154757",
      "-122609446999"
    ],
    [
      "2080866713/49",
      "-70407885885147/343"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "2-isogenous to curve#2100 via the rational 2-torsion point x=19608095. 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 20:28:58",
  "updated_at": "2026-09-26 20:28:58"
}