{
  "id": 4389,
  "curve_key": "139262726084366112044169635110089:-1643434268102220136621573212161276539356157426437",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-2901306793424294000920200731460",
    "1902122995488681439009074759037940669119809516"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    6
  ],
  "family": null,
  "families": [],
  "naive_height": 222.0417451639376,
  "faltings_height": 15.82876305165435,
  "conductor": "488442904773890620855613130",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "19",
    "31",
    "41",
    "67",
    "73",
    "109",
    "271",
    "1621",
    "2857",
    "3691"
  ],
  "discriminant": "7629740629241212680441937013457494621781929923761202777263910285354089918948352500",
  "regulator": "149025059.895452984635971514516842452809090605877942123",
  "points": [
    [
      "983411569364385",
      "84684471625326216"
    ],
    [
      "550624418147902",
      "21714854859716740689198"
    ],
    [
      "981441736076172",
      "107066463932136963198"
    ],
    [
      "973973256740428",
      "511940054815506639686"
    ],
    [
      "962655470361228",
      "1123525739194632701886"
    ],
    [
      "3546527149229650852/9",
      "6678837582989221355109685022/27"
    ],
    [
      "-1948575585918945",
      "-12526000684111456916394"
    ],
    [
      "522407813131326210/529",
      "2727845788925787308480478/12167"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE dujella/z6old678.html#pre124 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:21:18",
  "updated_at": "2026-10-17 10:21:18"
}