{
  "id": 3726,
  "curve_key": "3111181895078120871696144976:-173872785737307414943860565428668224547776",
  "ainvs": [
    "0",
    "1",
    "0",
    "-64816289480794184827003020",
    "201241650158899013718159834147497740368"
  ],
  "rank_lower_bound": 19,
  "torsion": [],
  "naive_height": 189.91828508426815,
  "faltings_height": 13.624721366830066,
  "conductor": "121699625558132826973404258275555968548692611342661702520",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "19",
    "47",
    "4457",
    "259564121",
    "1813248433",
    "370056132262939294021750819"
  ],
  "discriminant": "-67828335296597323570807286969368581981242864972418994412275529759466156000000",
  "regulator": "180440913574672990.4777079277004407953449040264740242936968758093909782516764",
  "points": [
    [
      "3297380790606",
      "-4834165970905806150"
    ],
    [
      "7474578969606",
      "-11591673768650433150"
    ],
    [
      "5603463829866",
      "3740052832634873370"
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    [
      "-277859708994",
      "-14806418643630271350"
    ],
    [
      "17702371196349/4",
      "8276186906466199875/8"
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      "-11564648277651/4",
      "-152728643006649373125/8"
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      "1776479118162",
      "-9576179658283676130"
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    [
      "5098676951886",
      "1819922584001562810"
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    [
      "4497953550531",
      "837690563467226700"
    ],
    [
      "-51841185588759/16",
      "-1243045217888653649085/64"
    ],
    [
      "4400502463248",
      "-1109321882166668148"
    ],
    [
      "-1498855646694",
      "-17176281033399122250"
    ],
    [
      "4654546902446",
      "625340245991521830"
    ],
    [
      "4551115024743",
      "-721737227924563158"
    ],
    [
      "4569365838156",
      "-690345234384365700"
    ],
    [
      "5305016060862",
      "-2586560861580675210"
    ],
    [
      "-117397661794014/25",
      "-2506432117195506696966/125"
    ],
    [
      "167712250421178246/32761",
      "11234982559078522413613290/5929741"
    ],
    [
      "235002617190808908/175561",
      "-795259649893447540037559708/73560059"
    ]
  ],
  "submitter": "Matej Jurasić",
  "history": [],
  "commentary": "Specialization at T = -3/2 of a rank-17 fibration of X1092 (two 2-neighbour steps from the one in curve#1879).",
  "created_at": "2026-09-30 20:07:57",
  "updated_at": "2026-09-30 20:07:57"
}