{
  "id": 2861,
  "curve_key": "11528144105669017417167422580289:-25633805211581873778289101802783634516947074913",
  "ainvs": [
    "1",
    "0",
    "0",
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    "29668756031923445007028869559325820330802320"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    6,
    2
  ],
  "naive_height": 214.56703244679667,
  "faltings_height": 15.915533524396093,
  "conductor": "162918088827470615730",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "17",
    "29",
    "41",
    "53",
    "197",
    "337",
    "353",
    "2377"
  ],
  "discriminant": "506352172291747331693164028212312239117978176319758468238782971060210789436136609546240000",
  "regulator": "58164.5742624269195951470838744660001282889941218",
  "points": [
    [
      "-86377451671656",
      "-7054752418018569558540"
    ],
    [
      "-8889727242996",
      "-5639423401321035640560"
    ],
    [
      "-370202468947632",
      "-8236744372377746818884"
    ],
    [
      "50272235005464",
      "4209743779052349577716"
    ],
    [
      "-195003322326090480/361",
      "-9163909818068780772090540/6859"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Voznyy (2021). Source: https://dujella.github.io/tors/z2z6old5.html (curve entry 26). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:25:45",
  "updated_at": "2026-09-26 20:25:45"
}