{
  "id": 2826,
  "curve_key": "61847370660760320319697260051281:-476384087273474400209145133249243646804169279321",
  "ainvs": [
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  "rank_lower_bound": 5,
  "torsion": [
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    2
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  "naive_height": 219.60666712862488,
  "faltings_height": 16.197953944630743,
  "conductor": "11969747194951591955910",
  "bad_primes": [
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    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "23",
    "37",
    "97",
    "137",
    "283",
    "373",
    "6547"
  ],
  "discriminant": "5573153530048446876229720872345034888572418885737489037410291033153383152571809967361000000",
  "regulator": "69164.5306449847764606397236196323316995086407442",
  "points": [
    [
      "275840694411987",
      "14728935480961756884631"
    ],
    [
      "568996051166427",
      "1562911512615410438941"
    ],
    [
      "532841297240187",
      "4011940191599356415431"
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    [
      "6247507242483057",
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    ],
    [
      "65379001260055649067/6241",
      "525651766712267023133539893859/493039"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Voznyy (2021). Source: https://dujella.github.io/tors/z2z6old5.html (curve entry 27). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:24:11",
  "updated_at": "2026-09-26 20:24:11"
}