{
  "id": 4522,
  "curve_key": "29407168:-127039490560",
  "ainvs": [
    "0",
    "1",
    "0",
    "-612649",
    "146832231"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 51.590247036348025,
  "faltings_height": 2.3086466884324737,
  "conductor": "865016887424",
  "bad_primes": [
    "2",
    "23",
    "41",
    "103",
    "1697"
  ],
  "discriminant": "5377166416550764544",
  "regulator": "691.54278449019287598934241740807320082624462895736",
  "points": [
    [
      "2159",
      "94300"
    ],
    [
      "-670",
      "16031"
    ],
    [
      "-383",
      "-18040"
    ],
    [
      "5011",
      "350612"
    ],
    [
      "4045",
      "252724"
    ],
    [
      "2642",
      "130295"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z2.tsv.gz:8408 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:33:37",
  "updated_at": "2026-10-17 10:33:37"
}