{
  "id": 4513,
  "curve_key": "3655984576:-221008053294080",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-76166345",
    "255821746761"
  ],
  "rank_lower_bound": 7,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 66.0588938151331,
  "faltings_height": 3.2268310029027782,
  "conductor": "286374696840384",
  "bad_primes": [
    "2",
    "3",
    "31",
    "41",
    "73",
    "97",
    "103",
    "1609"
  ],
  "discriminant": "12816152008671027105792",
  "regulator": "3147.368503096697553200590271397411414878855585820226",
  "points": [
    [
      "-4075",
      "706056"
    ],
    [
      "5123",
      "7008"
    ],
    [
      "4831",
      "24236"
    ],
    [
      "5561",
      "64824"
    ],
    [
      "5101",
      "496"
    ],
    [
      "451",
      "470704"
    ],
    [
      "5269",
      "27448"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z2.tsv.gz:315533 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:33:10",
  "updated_at": "2026-10-17 10:33:10"
}