{
  "id": 4533,
  "curve_key": "32725463776:-5861107763827424",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-681780495",
    "6783916801632"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4
  ],
  "family": null,
  "families": [],
  "naive_height": 72.63425796167834,
  "faltings_height": 3.917876769935997,
  "conductor": "622724943720",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "53",
    "89",
    "103",
    "971"
  ],
  "discriminant": "402168338455587393572955600",
  "regulator": "2468.91034289268540068620853370753489733706771854",
  "points": [
    [
      "1203449/16",
      "-1249264325/64"
    ],
    [
      "-8011",
      "3425125"
    ],
    [
      "16369",
      "97785"
    ],
    [
      "46327277/3481",
      "53318601391/205379"
    ],
    [
      "12724",
      "410850"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z4.tsv.gz:2357 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:34:18",
  "updated_at": "2026-10-17 10:34:18"
}