{
  "id": 4464,
  "curve_key": "136070160681:-40441751601676245",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-2834795014",
    "46808291571064"
  ],
  "rank_lower_bound": 13,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 76.90930943105586,
  "faltings_height": 4.416294117644398,
  "conductor": "255733741895151889311142284086",
  "bad_primes": [
    "2",
    "133276381583",
    "959411333267213621"
  ],
  "discriminant": "511467483790303778622284568172",
  "regulator": "34539214097.44949136428035727903348635166244441929504021797164727",
  "points": [
    [
      "-50050",
      "7981942"
    ],
    [
      "-2388",
      "7319948"
    ],
    [
      "-1316",
      "7109568"
    ],
    [
      "2684",
      "6261168"
    ],
    [
      "13418",
      "3337942"
    ],
    [
      "15173",
      "2692210"
    ],
    [
      "41660",
      "985488"
    ],
    [
      "41710",
      "1042902"
    ],
    [
      "42013",
      "1344842"
    ],
    [
      "44988",
      "3191092"
    ],
    [
      "46886",
      "4095270"
    ],
    [
      "99585",
      "27374638"
    ],
    [
      "-3174287/121",
      "13533550930/1331"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_13.md#19 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:30:07",
  "updated_at": "2026-10-17 10:30:07"
}