{
  "id": 4396,
  "curve_key": "81846820313481:-1277355388639689266085",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-1705142089864",
    "1478421014988866524"
  ],
  "rank_lower_bound": 15,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 97.19815758169348,
  "faltings_height": 6.138775370559828,
  "conductor": "313470185465711365174722663519489654214",
  "bad_primes": [
    "2",
    "283",
    "23982037",
    "29853097",
    "773578425106945399661"
  ],
  "discriminant": "-626940370931422730349445327038979308428",
  "regulator": "1021314364254.7002569279828457287649797491938133494194721441619476451",
  "points": [
    [
      "-328619",
      "-1415206776"
    ],
    [
      "-1325583",
      "1187866228"
    ],
    [
      "6565876",
      "16529784810"
    ],
    [
      "8001964",
      "22361397918"
    ],
    [
      "1101510",
      "967270442"
    ],
    [
      "597371",
      "820061854"
    ],
    [
      "701164",
      "-792531322"
    ],
    [
      "-1601612",
      "-317008078"
    ],
    [
      "596682",
      "-820925842"
    ],
    [
      "-740044",
      "-1527702126"
    ],
    [
      "992903",
      "-874704278"
    ],
    [
      "315700",
      "985525818"
    ],
    [
      "-1205964",
      "1335094330"
    ],
    [
      "2830914",
      "-4398966922"
    ],
    [
      "397164",
      "-929632922"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "BASE records/rank_15.md#18 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:21:40",
  "updated_at": "2026-10-17 10:21:40"
}