{
  "id": 4541,
  "curve_key": "650472064384734919962228321:-16383951613167832398563385242620627908369",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-13551501341348644165879757",
    "18962906959688379077376292302963492981"
  ],
  "rank_lower_bound": 21,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 185.21922175215704,
  "faltings_height": 13.309585189702718,
  "conductor": "979177535818370910552262900218704219080193176433652068537523090",
  "bad_primes": [
    "2",
    "3",
    "5",
    "19",
    "29",
    "109",
    "3320881",
    "627001051421865887483759327603646432717018489137"
  ],
  "discriminant": "3929343632842177421542408016339296229648752905644772659584261352310504960000",
  "regulator": "5631617052689609624.9741593943357603381651076084314557508149525269811971882478885",
  "points": [
    [
      "3301478393711",
      "-3195035115752746536"
    ],
    [
      "2600824093811",
      "-1144795467088820076"
    ],
    [
      "1842516567791",
      "-499140651466729896"
    ],
    [
      "-1971664569709",
      "6165806087766730104"
    ],
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      "2325618886031",
      "159362259513381624"
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      "2089864760938898544"
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      "4459409299178936352"
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      "-4233096726799",
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    [
      "1675656027911",
      "-979897665376488936"
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    [
      "827047013831",
      "-2884594664583749856"
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    [
      "-2723077613341",
      "5972661014288978616"
    ],
    [
      "4419973306031",
      "-6739064182661347656"
    ],
    [
      "-4194846081649",
      "1412014868510281464"
    ],
    [
      "1734903347759",
      "821113926024672024"
    ],
    [
      "609209839775",
      "-3306554263793883528"
    ],
    [
      "1707594862991",
      "895306334555078904"
    ],
    [
      "-1563079986801",
      "-6027108036511125256"
    ],
    [
      "11288425990031",
      "-36117254579188363656"
    ],
    [
      "106049605835741/16",
      "-949976701738521659679/64"
    ],
    [
      "1680272211161",
      "-967798895583751686"
    ],
    [
      "176598335434481/121",
      "2015705861537237541444/1331"
    ]
  ],
  "submitter": "Matej Jurasić",
  "history": [],
  "commentary": "Specialization at T = -20/13 of a rank-16 fibration of X1008 (two neighbour steps from the one in curve#751).",
  "created_at": "2026-10-17 12:09:57",
  "updated_at": "2026-10-17 12:09:57"
}