{
  "id": 4406,
  "curve_key": "15687921081:-1913741829947565",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-326831689",
    "2215060677769"
  ],
  "rank_lower_bound": 12,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 70.42847068588473,
  "faltings_height": 3.7773906017983485,
  "conductor": "57453726914665426475770586",
  "bad_primes": [
    "2",
    "2957",
    "1152623",
    "14947259",
    "563881757"
  ],
  "discriminant": "114907453829330852951541172",
  "regulator": "86308690.090345669594142471028124265154491560614375261451967759",
  "points": [
    [
      "8967",
      "-77360"
    ],
    [
      "2336",
      "1208925"
    ],
    [
      "16899",
      "-1240387"
    ],
    [
      "8824",
      "-138957"
    ],
    [
      "13556",
      "-531671"
    ],
    [
      "-18204",
      "-1451005"
    ],
    [
      "13349",
      "473728"
    ],
    [
      "15583",
      "-959568"
    ],
    [
      "106597/9",
      "1833664/27"
    ],
    [
      "7840",
      "-370723"
    ],
    [
      "8511",
      "-227536"
    ],
    [
      "5822",
      "710925"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_12.md#26 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:22:32",
  "updated_at": "2026-10-17 10:22:32"
}