{
  "id": 4398,
  "curve_key": "311491653721:-175159563411997405",
  "ainvs": [
    "1",
    "0",
    "1",
    "-6489409453",
    "202730435387172"
  ],
  "rank_lower_bound": 13,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 79.40894748866211,
  "faltings_height": 4.470038171662191,
  "conductor": "132452629998841421797163345894",
  "bad_primes": [
    "2",
    "151",
    "859",
    "510576097259409222941983"
  ],
  "discriminant": "-264905259997682843594326691788",
  "regulator": "1499809581.232613874981494064699434739436495062066169973577653699",
  "points": [
    [
      "40159",
      "2604588"
    ],
    [
      "40170",
      "2601123"
    ],
    [
      "1191",
      "13963760"
    ],
    [
      "45438",
      "-1317709"
    ],
    [
      "46769",
      "1212522"
    ],
    [
      "53105",
      "-2832732"
    ],
    [
      "8362",
      "12204451"
    ],
    [
      "63825",
      "6935466"
    ],
    [
      "397012",
      "-245561184"
    ],
    [
      "51615",
      "-2325412"
    ],
    [
      "55444",
      "3628683"
    ],
    [
      "176375/4",
      "-12356847/8"
    ],
    [
      "15781",
      "-10218240"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_13.md#35 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:21:54",
  "updated_at": "2026-10-17 10:21:54"
}