{
  "id": 4520,
  "curve_key": "25682368:-119749760000",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-535049",
    "138777609"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 51.18394573311837,
  "faltings_height": 2.2279450788221875,
  "conductor": "276672153792",
  "bad_primes": [
    "2",
    "3",
    "17",
    "41",
    "73",
    "127",
    "223"
  ],
  "discriminant": "1504441356968300544",
  "regulator": "553.26501439887388492076403185045682564275597196510",
  "points": [
    [
      "575",
      "-4572"
    ],
    [
      "-187",
      "-15240"
    ],
    [
      "67",
      "-10160"
    ],
    [
      "-695",
      "13208"
    ],
    [
      "829",
      "16256"
    ],
    [
      "4385",
      "286512"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z2.tsv.gz:8252 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:33:29",
  "updated_at": "2026-10-17 10:33:29"
}