{
  "id": 4401,
  "curve_key": "106419741456:-24559891578705240",
  "ainvs": [
    "0",
    "0",
    "1",
    "-2217077947",
    "28425800438316"
  ],
  "rank_lower_bound": 13,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 76.17197080993061,
  "faltings_height": 4.37487054413281,
  "conductor": "348398420573690733009119729797",
  "bad_primes": [
    "48647",
    "17551319",
    "83547923",
    "4883989223"
  ],
  "discriminant": "348398420573690733009119729797",
  "regulator": "444536073053.4218294789531854558804749839741950126595524221575207",
  "points": [
    [
      "-1992",
      "5730123"
    ],
    [
      "607",
      "5203869"
    ],
    [
      "10905",
      "2354862"
    ],
    [
      "38511",
      "399330"
    ],
    [
      "43592",
      "3822980"
    ],
    [
      "47123",
      "5347026"
    ],
    [
      "76053",
      "17312001"
    ],
    [
      "102842",
      "29801394"
    ],
    [
      "448418",
      "298666298"
    ],
    [
      "-13012501/289",
      "29872122205/4913"
    ],
    [
      "-34298519/1296",
      "386329606955/46656"
    ],
    [
      "1493376/25",
      "1305873751/125"
    ],
    [
      "3154275529/3364",
      "176932931836535/195112"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_13.md#14 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:22:08",
  "updated_at": "2026-10-17 10:22:08"
}