{
  "id": 4403,
  "curve_key": "98384170521:-42248292581215485",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-2049670219",
    "48898999201369"
  ],
  "rank_lower_bound": 13,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 76.56468067123669,
  "faltings_height": 4.400465839005979,
  "conductor": "240918419474403489984588164194",
  "bad_primes": [
    "2",
    "53527",
    "2250438278573462831697911"
  ],
  "discriminant": "-481836838948806979969176328388",
  "regulator": "333773678945.3826137934771093831190928784926395371763217232438749",
  "points": [
    [
      "-47765",
      "6174018"
    ],
    [
      "-41117",
      "7999362"
    ],
    [
      "-40722",
      "8072435"
    ],
    [
      "-508",
      "7067085"
    ],
    [
      "33789",
      "4251433"
    ],
    [
      "40830",
      "5748203"
    ],
    [
      "77964",
      "19013293"
    ],
    [
      "82167",
      "20820898"
    ],
    [
      "531863/4",
      "368438139/8"
    ],
    [
      "208745",
      "93260298"
    ],
    [
      "381728",
      "234096037"
    ],
    [
      "12475639",
      "44058514338"
    ],
    [
      "-868995/16",
      "7471163/64"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_13.md#16 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:22:13",
  "updated_at": "2026-10-17 10:22:13"
}