{
  "id": 5536,
  "curve_key": "641476415436795512370159268156176:-16370836597409067955868163910301720797803435455424",
  "ainvs": [
    "0",
    "0",
    "0",
    "-13364091988266573174378318086587",
    "18947727543297532356328893414701065738198420666"
  ],
  "rank_lower_bound": 23,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 226.63917191862848,
  "faltings_height": 16.739681795603843,
  "conductor": "19018992132020173517482799032285613650733072760724974507000367189177828784735120",
  "bad_primes": [
    "2",
    "5",
    "7",
    "13",
    "29",
    "31",
    "59",
    "18492973",
    "529774253",
    "5027439264858175154535431253786125213008522759397531351"
  ],
  "discriminant": "-2339052761087387978343594070064407733236180293095504895303740959959913263239160460954505600000",
  "regulator": "181714862590987239004667.192048744646080951568969538814242703416163635461405526092316",
  "points": [
    [
      "2376290775299302",
      "-24679903113981766272700"
    ],
    [
      "8875386053031553/4",
      "-118351600891913172805385/8"
    ],
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      "1029326111957862",
      "79260976001035234582540"
    ],
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      "-2661437118758053",
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    ],
    [
      "67230794367055419/25",
      "6196046654456150443584178/125"
    ],
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    ],
    [
      "4025824618193433/4",
      "645816007992416737164325/8"
    ],
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      "2068630157480297",
      "-12430187636940436550320"
    ],
    [
      "108384751783151923/49",
      "-4964160070192630765504150/343"
    ],
    [
      "2326787395312987",
      "-21199366402718583736790"
    ],
    [
      "-8195838364262357/9",
      "-4704709279194904308688450/27"
    ],
    [
      "1745608960139322",
      "-30633026091649791461470"
    ],
    [
      "763131824154883403/289",
      "223568880442070793870572150/4913"
    ],
    [
      "2152622334897571",
      "-12436609074991911749030"
    ],
    [
      "1570383866374587",
      "-42821786125161050772310"
    ],
    [
      "6756465723817926677/2401",
      "7082748967109638216521849100/117649"
    ],
    [
      "-2786148434560045",
      "185887738485479614308634"
    ],
    [
      "17336983927940897/16",
      "4848449909569359822284465/64"
    ],
    [
      "1363704068395205",
      "-57088756267085974223884"
    ],
    [
      "2007499044251497",
      "14479365189231049366480"
    ],
    [
      "2695437477223027",
      "-50090311393854103230950"
    ],
    [
      "43917670155479014/25",
      "3733644382399876743817088/125"
    ],
    [
      "2050448051904677",
      "12888995677523904778700"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = -58/23 of the rank-17 fibration of X1008 given in curve#3594. Found by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.",
  "created_at": "2026-10-22 23:29:11",
  "updated_at": "2026-10-22 23:29:11"
}