{
  "id": 3550,
  "curve_key": "11520266175865739332777296038976:-31708867401846635232545215906016888921508727680",
  "ainvs": [
    "0",
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  "rank_lower_bound": 23,
  "torsion": [],
  "naive_height": 214.56498165109826,
  "faltings_height": 15.886243829531606,
  "conductor": "2346409587597899767985215535053737912784685398154665256151005994854441862326088",
  "bad_primes": [
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    "3",
    "13",
    "53",
    "67",
    "83",
    "2423873",
    "3509048332575999972992242067725795185834441969977070129230866937"
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  "discriminant": "302938374686068516641134144421785144957100623373701509574062824461662494315365873627688192",
  "regulator": "268172257115121960118049876.441196630132975129550623770898003048044757389414307762254",
  "points": [
    [
      "1749904236041569/4",
      "-31424714514993214670671/8"
    ],
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      "1669087838575218",
      "-65467130133148629843906"
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    [
      "65956194463548646/121",
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      "-287881569926828838/1849",
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    [
      "25148902110969009/64",
      "-896445727576949819491479/512"
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    [
      "4151169394060372",
      "-265658066126742392007398"
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    [
      "605648875434873/4",
      "15659437347521502031341/8"
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    [
      "-61852251082749739086/116281",
      "147633974509796651454855430554/39651821"
    ],
    [
      "-476154729379536074034714/1129296025",
      "-301068472301380908013139358582152466/37949992920125"
    ],
    [
      "-12021384477308391528754163666/22444503178969",
      "-362121614908960545501067801562520274140914/106332247814065912547"
    ],
    [
      "458568175648095310695732/2725988521",
      "148354124126359897759941887126112738/142326586669931"
    ],
    [
      "333163294022097270166664638926/648803680140625",
      "115517537543592619858611574560051986653346826/16526084039161947265625"
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    [
      "2729440579852309413186006/7103624089",
      "658065708124110531130463164142271378/598714749093187"
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  ],
  "submitter": "Matej Jurasić",
  "history": [],
  "commentary": "Specialization at T = 45/11 of a rank-17 fibration of X1008 (2-neighbour of the one in curve#751).",
  "created_at": "2026-09-28 08:36:16",
  "updated_at": "2026-09-28 08:36:16"
}