{
  "id": 4404,
  "curve_key": "1245561124521:-1389898783864345365",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-25949190094",
    "1608685635288664"
  ],
  "rank_lower_bound": 13,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 83.55182174020769,
  "faltings_height": 4.670770738604218,
  "conductor": "165782089380280872920512734806",
  "bad_primes": [
    "2",
    "82891044690140436460256367403"
  ],
  "discriminant": "331564178760561745841025469612",
  "regulator": "477082448584.5023698442136980744238392598814349325820167190001854",
  "points": [
    [
      "-120149",
      "54759245"
    ],
    [
      "-100654",
      "56626110"
    ],
    [
      "-1434",
      "40570334"
    ],
    [
      "-308",
      "40208088"
    ],
    [
      "15758",
      "34686372"
    ],
    [
      "132103/4",
      "224397919/8"
    ],
    [
      "69578",
      "11798350"
    ],
    [
      "103747",
      "5710205"
    ],
    [
      "124943",
      "17740860"
    ],
    [
      "133006",
      "22521764"
    ],
    [
      "1376179/4",
      "1460773185/8"
    ],
    [
      "20177011/196",
      "14458679971/2744"
    ],
    [
      "1686891884/13225",
      "29316901631272/1520875"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_13.md#38 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:22:16",
  "updated_at": "2026-10-17 10:22:16"
}