{
  "id": 4129,
  "curve_key": "1270513019971836374055596576697930797504448336:-45491114144387630641163873105023165574258641410395664075117442267584",
  "ainvs": [
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  "torsion": [],
  "naive_height": 311.57626630192345,
  "faltings_height": 23.796121284582906,
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  "bad_primes": [
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    "7",
    "11",
    "47",
    "61",
    "107",
    "55829",
    "74586683",
    "1558136431",
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    "82349340260085214078969",
    "227894828119014569698063",
    "9997971603001541437726813"
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  "discriminant": "-10749486963539118723022904728412301870333331291430508491167857060546866071344028510437419966004443711793436771189820423080851680000",
  "regulator": "12020842530789212225016556810496.442460926915517553741038178080062881473814065243961721579151",
  "points": [
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    [
      "2935022630282152119907447/1521",
      "5552176309614767588687460726232619780/59319"
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      "2798106506808769628037",
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    [
      "-18254355839843700683255/9",
      "-8452073895611849875274946186544478/27"
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    [
      "7876700201489801232700777/576",
      "20726308002839610483316060654460685515/13824"
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  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = -1844/499 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": "2026-10-10 11:09:49",
  "updated_at": "2026-10-10 11:09:49"
}