{
  "id": 4409,
  "curve_key": "3836275401:-816751210708485",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-79922404",
    "945333881884"
  ],
  "rank_lower_bound": 12,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 68.67271129751511,
  "faltings_height": 3.7777156331839743,
  "conductor": "176685196983131610721395454",
  "bad_primes": [
    "2",
    "2591",
    "405817",
    "84018035046416041"
  ],
  "discriminant": "-353370393966263221442790908",
  "regulator": "1148969791.1244749612426545129182136618374691084407099438458414",
  "points": [
    [
      "-9628",
      "911598"
    ],
    [
      "-8582",
      "1003842"
    ],
    [
      "-8020",
      "1038618"
    ],
    [
      "-3478",
      "1088580"
    ],
    [
      "-2261",
      "1056818"
    ],
    [
      "-1990",
      "1048132"
    ],
    [
      "-1445",
      "1029218"
    ],
    [
      "-618",
      "997550"
    ],
    [
      "170",
      "965188"
    ],
    [
      "251",
      "961794"
    ],
    [
      "6414",
      "831388"
    ],
    [
      "7490",
      "871962"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_12.md#11 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:22:40",
  "updated_at": "2026-10-17 10:22:40"
}