{
  "id": 5667,
  "curve_key": "4423906320603766605864080904400:-8959714514239242150328770677745476169853585600",
  "ainvs": [
    "0",
    "1",
    "0",
    "-92164715012578470955501685508",
    "10370039947036129174642184091603982621953888"
  ],
  "rank_lower_bound": 22,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 211.6937276356404,
  "faltings_height": 15.566196509629156,
  "conductor": "361495350880784086493067674065355732156988037039067129366685430059641748487800",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "278549",
    "13301221",
    "131852849",
    "1495414619",
    "15758154692718817",
    "365987131830639437154674177"
  ],
  "discriminant": "3647889205628448750737425539210582256184410687650085884196601263454979420726024062880000",
  "regulator": "11342716177633955073935.27501698958257105006404229839541180246227371043094311524293",
  "points": [
    [
      "146834041031118",
      "53841627023916349530"
    ],
    [
      "-281495442190302",
      "3742776679764441818070"
    ],
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      "257373683775198",
      "1923021779243933369430"
    ],
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      "144618086920418",
      "-256815897498807160470"
    ],
    [
      "3334058444485596/25",
      "83913618426345050278056/125"
    ],
    [
      "-1718481610692",
      "3244752415817889495480"
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      "40643698759038",
      "2586747915120861951030"
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    [
      "231660846597243",
      "-1204810475132422080780"
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      "-346027066341582",
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    [
      "3502024853507478",
      "-206487441125099605343070"
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    [
      "129648587347368",
      "-774755664019531056720"
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    [
      "4452216786615258",
      "296399927655493315955730"
    ],
    [
      "92320147212954",
      "1627336900733585606994"
    ],
    [
      "2575329782423058",
      "129820783044945073923270"
    ],
    [
      "138126037621419",
      "-524378121034817690784"
    ],
    [
      "205878782857518",
      "348817666872515689530"
    ],
    [
      "214084691004888",
      "-671542660736699246280"
    ],
    [
      "465605829954783",
      "-8270171418785306903730"
    ],
    [
      "23590450002082008",
      "3623001755268754211840520"
    ],
    [
      "105359212266127308/841",
      "-21677305223741586529762080/24389"
    ],
    [
      "1049311733075838",
      "-32695727123308064703030"
    ],
    [
      "202991048609724",
      "160462509913392522264"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = 89/57 of the rank-17 fibration of X1152 given in curve#846. Found by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.",
  "created_at": "2026-10-24 03:10:41",
  "updated_at": "2026-10-24 03:10:41"
}