{
  "id": 4317,
  "curve_key": "-54838390614183:-1034393953633360198749",
  "ainvs": [
    "1",
    "-1",
    "0",
    "1142466471129",
    "1197214938496067633"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 96.77620531208936,
  "faltings_height": 6.137920644235224,
  "conductor": "68846246531396193042",
  "bad_primes": [
    "2",
    "3",
    "17",
    "163",
    "179",
    "307",
    "1303",
    "1399",
    "1531"
  ],
  "discriminant": "-714631684791121516189922460282151277796",
  "regulator": "608235.841678146353659021933252359323403143707742129838",
  "points": [
    [
      "-661448",
      "-389720615"
    ],
    [
      "2071247",
      "3527324398"
    ],
    [
      "-147032",
      "-1012871297"
    ],
    [
      "1778966",
      "-2977389257"
    ],
    [
      "156335977/256",
      "5966346885475/4096"
    ],
    [
      "-2117597/4",
      "-5328683551/8"
    ],
    [
      "2581750828/3481",
      "-321710386816423/205379"
    ],
    [
      "-719626",
      "-48623001"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "Curve 3-8.ec from Layr Labs / Yukon Elliptic Rank Challenge with conductor prime factorization via pCwOrM Werr 4-Pillar Algebraic Sieve.",
  "created_at": "2026-10-17 09:50:15",
  "updated_at": "2026-10-17 09:50:15"
}