{
  "id": 2833,
  "curve_key": "34252985514729690298347920738689:-149960971320534176929782565628145990240049038913",
  "ainvs": [
    "1",
    "0",
    "0",
    "-713603864890201881215581682056",
    "173565939028395978646185524923160350368249920"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    6,
    2
  ],
  "naive_height": 217.83397955713184,
  "faltings_height": 16.1728369816986,
  "conductor": "44066485454258113056210",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "19",
    "23",
    "41",
    "47",
    "107",
    "151",
    "157",
    "467",
    "1471"
  ],
  "discriminant": "10242827087724374425960775981922615428569611771559584293144905107074164608849874366017638400",
  "regulator": "124823.925978897678087492750814363770206662972313",
  "points": [
    [
      "783905935534154",
      "9792063060958885627490"
    ],
    [
      "46479406191344",
      "11853204869518918689560"
    ],
    [
      "-151796825230624",
      "-16685052990404966422360"
    ],
    [
      "421910501388963328/81",
      "270592897898471141215286344/729"
    ],
    [
      "88151709135339248/121",
      "8455013912276220192150856/1331"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Dujella - Peral (2021). Source: https://dujella.github.io/tors/z2z6old5.html (curve entry 45). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:24:30",
  "updated_at": "2026-09-26 20:24:30"
}