{
  "id": 4509,
  "curve_key": "20633525776:-2679489892780480",
  "ainvs": [
    "0",
    "1",
    "0",
    "-429865120",
    "3101118161604"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    2
  ],
  "family": null,
  "families": [],
  "naive_height": 71.25054916413148,
  "faltings_height": 3.9092992974720646,
  "conductor": "92683481879444048",
  "bad_primes": [
    "2",
    "37",
    "41",
    "47",
    "61",
    "73",
    "173",
    "263",
    "401"
  ],
  "discriminant": "928761810705278116664148992",
  "regulator": "39372.6858298368488221784336235304774208926107638767231",
  "points": [
    [
      "5992",
      "860546"
    ],
    [
      "27526",
      "3482144"
    ],
    [
      "-5626",
      "2311168"
    ],
    [
      "-22298",
      "1264976"
    ],
    [
      "-2576",
      "2047282"
    ],
    [
      "-9246",
      "2507052"
    ],
    [
      "2187889/16",
      "3200800847/64"
    ],
    [
      "7550",
      "534848"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE torsion/torsion_Z2.tsv.gz:635298 + Werr Core & 4-Pillar Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:33:00",
  "updated_at": "2026-10-17 10:33:00"
}