{
  "id": 4542,
  "curve_key": "70996053277021737297496020321:-19268906352016936576994114744376981848980881",
  "ainvs": [
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    "-1479084443271286193697833757",
    "22301974944464416735224376553466227524389"
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  "rank_lower_bound": 20,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 199.334133265297,
  "faltings_height": 14.502879805704394,
  "conductor": "954008727620351754173693616590312149665613897220815618084790",
  "bad_primes": [
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    "5",
    "7",
    "11",
    "23",
    "31",
    "163",
    "17597663263839156564907567",
    "86542900242116937796191257"
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  "discriminant": "-7777450796666578180999764354632694464167804699619784251470975166374995944960000000",
  "regulator": "238455863323517366.567279765620928105809103134206534513020925182124767140200939",
  "points": [
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    [
      "178407054215023/9",
      "-749976683331265051048/27"
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      "281369913519",
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      "95456250645527",
      "866545697013745808096"
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    [
      "15035183058447",
      "58842782118219904776"
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    [
      "35784574826863",
      "123276078748252666728"
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    [
      "22280188519613",
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      "224814364122347",
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    [
      "27969820581947",
      "-53040969187847759224"
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  ],
  "submitter": "Matej Jurasić",
  "history": [],
  "commentary": "Specialization at T = -23/2 of a rank-16 fibration of X1008 (two neighbour steps from the one in curve#751).",
  "created_at": "2026-10-17 12:11:33",
  "updated_at": "2026-10-17 12:11:33"
}