{
  "id": 4527,
  "curve_key": "356701788477364537936:-6675432446621152367492871829400",
  "ainvs": [
    "0",
    "-1",
    "1",
    "-7431287259945094540",
    "7726194963844170252728077612"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    5
  ],
  "family": null,
  "families": [],
  "naive_height": 141.97029534059706,
  "faltings_height": 9.692042750841315,
  "conductor": "22440710685096689557",
  "bad_primes": [
    "11",
    "13",
    "17",
    "19",
    "23",
    "31",
    "43",
    "47",
    "337164781"
  ],
  "discriminant": "476834251841812285639531696506050747692958325631691834677",
  "regulator": "20656.548518170829340550941775258682370394698423437",
  "points": [
    [
      "-448884132479/144",
      "42336536675013575/1728"
    ],
    [
      "41313038893/36",
      "-5753377263080555/216"
    ],
    [
      "90825544456",
      "27360154966106748"
    ],
    [
      "2706055621/36",
      "-18287462541693167/216"
    ],
    [
      "21176948761/16",
      "-925389961129941/64"
    ],
    [
      "558918695105/16",
      "-416616161008305433/64"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z5.tsv.gz:2091 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:33:57",
  "updated_at": "2026-10-17 10:33:57"
}