{
  "id": 4408,
  "curve_key": "23525998041:-3640040709369885",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-490124959",
    "4213132611529"
  ],
  "rank_lower_bound": 12,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 71.66154252077924,
  "faltings_height": 3.830695410750596,
  "conductor": "66233056438848840448971334",
  "bad_primes": [
    "2",
    "523",
    "9154523381",
    "6916834335109"
  ],
  "discriminant": "-132466112877697680897942668",
  "regulator": "2107711206.8221344245039427962955840790092365837546138533975422",
  "points": [
    [
      "-3172",
      "2396557"
    ],
    [
      "-972",
      "2165807"
    ],
    [
      "3801",
      "1548929"
    ],
    [
      "4164",
      "1496063"
    ],
    [
      "13180",
      "200013"
    ],
    [
      "13570",
      "239883"
    ],
    [
      "13626",
      "247079"
    ],
    [
      "13831",
      "275739"
    ],
    [
      "13847",
      "278110"
    ],
    [
      "14188",
      "332205"
    ],
    [
      "15096",
      "496685"
    ],
    [
      "337676/25",
      "29021259/125"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_12.md#35 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:22:37",
  "updated_at": "2026-10-17 10:22:37"
}