{
  "id": 4501,
  "curve_key": "551758533856:-398879130325420160",
  "ainvs": [
    "0",
    "-1",
    "0",
    "-11494969455",
    "461669491755351"
  ],
  "rank_lower_bound": 9,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 81.10912904655791,
  "faltings_height": 4.668705614883268,
  "conductor": "584355605739340152192",
  "bad_primes": [
    "2",
    "3",
    "23",
    "31",
    "41",
    "73",
    "367",
    "487",
    "4231"
  ],
  "discriminant": "5133921777489406839844341987072",
  "regulator": "961320.27087332411599838557829435747681588719008300010280",
  "points": [
    [
      "23343",
      "14354838"
    ],
    [
      "-66939",
      "30515316"
    ],
    [
      "35454",
      "9934323"
    ],
    [
      "559829/4",
      "319432763/8"
    ],
    [
      "38390",
      "8772401"
    ],
    [
      "-81986",
      "-29206227"
    ],
    [
      "-14459",
      "24997044"
    ],
    [
      "745599",
      "-637481202"
    ],
    [
      "323549",
      "-174965048"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z2.tsv.gz:644942 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:32:38",
  "updated_at": "2026-10-17 10:32:38"
}