{
  "id": 2844,
  "curve_key": "947705324607601704137446042081:-3539579441122078441533116701780358463495067729",
  "ainvs": [
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    "0",
    "0",
    "-19743860929325035502863459210",
    "4096735464261663217563807627752085945979172"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    8
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  "naive_height": 209.76067420575464,
  "faltings_height": 15.535819148337911,
  "conductor": "4120457237924781091170",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "29",
    "41",
    "43",
    "61",
    "79",
    "157",
    "29838041"
  ],
  "discriminant": "-6757780936890336538798111447653495718994599217794469895310976364713474055860412900000000",
  "regulator": "74189.6912756109100674779144398062871644060780257",
  "points": [
    [
      "64786343948084",
      "1757705489176705699958"
    ],
    [
      "23596343445404",
      "1908923949002165628518"
    ],
    [
      "-36402206521336",
      "-2183396018286616851502"
    ],
    [
      "161860995539084",
      "2267502458684815282958"
    ],
    [
      "7071203454338",
      "1989340636071804829946"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Dujella - Peral (2012). Source: https://dujella.github.io/tors/z8old5.html (curve entry 10). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:24:59",
  "updated_at": "2026-09-26 20:24:59"
}