{
  "id": 4407,
  "curve_key": "13976918256:-1583673043671000",
  "ainvs": [
    "0",
    "0",
    "1",
    "-291185797",
    "1832954911656"
  ],
  "rank_lower_bound": 12,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 70.08201932990022,
  "faltings_height": 3.7707262994430457,
  "conductor": "128721058559431142077373797",
  "bad_primes": [
    "128721058559431142077373797"
  ],
  "discriminant": "128721058559431142077373797",
  "regulator": "125829235.70372246432353436756664596834481066903135377212280900",
  "points": [
    [
      "-13814",
      "1794245"
    ],
    [
      "-2181",
      "1567691"
    ],
    [
      "6529",
      "458388"
    ],
    [
      "8114",
      "66893"
    ],
    [
      "8161",
      "11220"
    ],
    [
      "11451",
      "10164"
    ],
    [
      "11562",
      "108954"
    ],
    [
      "11772",
      "190995"
    ],
    [
      "11822",
      "206870"
    ],
    [
      "12013",
      "261843"
    ],
    [
      "20928",
      "2214743"
    ],
    [
      "23057",
      "2716020"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_12.md#24 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:22:35",
  "updated_at": "2026-10-17 10:22:35"
}