{
  "id": 4448,
  "curve_key": "34041:1354995",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-709",
    "-1391"
  ],
  "rank_lower_bound": 6,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 31.305962878377297,
  "faltings_height": 0.6741807087807092,
  "conductor": "10882623866",
  "bad_primes": [
    "2",
    "24859",
    "218887"
  ],
  "discriminant": "21765247732",
  "regulator": "130.18893175925852872949372731408328686657076258272",
  "points": [
    [
      "-25",
      "28"
    ],
    [
      "-24",
      "49"
    ],
    [
      "-10",
      "73"
    ],
    [
      "-8",
      "65"
    ],
    [
      "-7",
      "60"
    ],
    [
      "-2",
      "5"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_6.md#15 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:24:23",
  "updated_at": "2026-10-17 10:24:23"
}