{
  "id": 4086,
  "curve_key": "-80771727087:-41048170413700761",
  "ainvs": [
    "1",
    "-1",
    "1",
    "1682744314",
    "47509035811260"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    4
  ],
  "naive_height": 76.50704532022615,
  "faltings_height": 4.4609398146707155,
  "conductor": "5685053598081",
  "bad_primes": [
    "3",
    "11",
    "13",
    "103",
    "181",
    "313",
    "757"
  ],
  "discriminant": "-1280042158010253426194181901983",
  "regulator": "6841.4054649121522938897416510391352805236559529685",
  "points": [
    [
      "-69153/4",
      "29189515/8"
    ],
    [
      "-61189/4",
      "34178961/8"
    ],
    [
      "4115",
      "7380570"
    ],
    [
      "-6511/64",
      "3522713853/512"
    ],
    [
      "2051306/169",
      "18331573164/2197"
    ],
    [
      "30174939/25",
      "165778581778/125"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Found using a Tate-normal-form discriminant sieve.",
  "created_at": "2026-10-09 06:39:52",
  "updated_at": "2026-10-09 06:39:52"
}