{
  "id": 2099,
  "curve_key": "-26704498242729382598853302994235679:2389064846504694437779668853745442751589318365212719",
  "ainvs": [
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  "rank_lower_bound": 9,
  "torsion": [
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  "naive_height": 237.8104202805903,
  "faltings_height": 17.906330194075252,
  "conductor": "59581557002530875732300241072530",
  "bad_primes": [
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    "3",
    "5",
    "7",
    "13",
    "19",
    "23",
    "31",
    "107",
    "163",
    "563",
    "887",
    "1621",
    "1823",
    "6701",
    "9341"
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  "discriminant": "-14323735948166665003296584008825264146272511801982320304880182200168979823748935162217549448459521600",
  "regulator": "203367184191.95135492731657200855887559120525415013388617",
  "points": [
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    ],
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      "60976619909430385088/529",
      "-485596629112692611506978722026/12167"
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    ],
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      "13429627009968162976/25",
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    ],
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      "59394945099276182",
      "-15485798846281145844884854"
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    [
      "2826544392721270048/49",
      "5102214485520639171543412618/343"
    ],
    [
      "87123480036454130",
      "-26589778562340415150337500"
    ],
    [
      "37922934069414383/4",
      "14667720848175459110035933/8"
    ],
    [
      "478121037142276002703877/309136",
      "330641311177186385009227829711590577/171879616"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#1827 (Klagsbrun (2020)). Isogenous to curve#2033, curve#2098 (also ours).",
  "created_at": "2026-09-26 06:56:22",
  "updated_at": "2026-09-26 06:56:22"
}