{
  "id": 5547,
  "curve_key": "413004389283665554460685455296:-258960410596709829446271768234526763536937344",
  "ainvs": [
    "0",
    "1",
    "0",
    "-8604258110076365717930946985",
    "299722697449892767847148224816203703037275"
  ],
  "rank_lower_bound": 20,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 204.57976719464784,
  "faltings_height": 14.953483961851973,
  "conductor": "306097343812929710376149520274032857791488284468589478234963320",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "19",
    "23",
    "29",
    "43",
    "13055435032943",
    "555164434209439",
    "105029898935842244678263"
  ],
  "discriminant": "1959924070966741819099160944272572188071412166377721017152383053801866865853940000000",
  "regulator": "407259806593921736.440168173204396228666031514678006924850664459025018674179845",
  "points": [
    [
      "32028253551005",
      "-238742976119884735950"
    ],
    [
      "176160949059455",
      "2061731015147557074750"
    ],
    [
      "26094050608205",
      "-304910111828366442750"
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      "33211131370205",
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      "82015275215189",
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      "32277093995363",
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    [
      "202088498697005",
      "2610392143525127532450"
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      "14243584923455",
      "424331180512682429250"
    ],
    [
      "2751211486955",
      "525424959507488147250"
    ],
    [
      "36596846881955",
      "-183981538698321185250"
    ],
    [
      "111006199405175",
      "844071600849690714930"
    ],
    [
      "-25760791555645",
      "-710126652305299744350"
    ],
    [
      "60896722948925",
      "-39769890899200985070"
    ],
    [
      "70925157661055",
      "215045777494604563650"
    ],
    [
      "-40039053551995",
      "-761604496155122998950"
    ],
    [
      "11208685608909005",
      "-1186635142356685996882050"
    ],
    [
      "68697864030155",
      "181220871638047720050"
    ],
    [
      "1608289967615405",
      "64393004082783521123550"
    ],
    [
      "46179557491955",
      "-29362414261263954750"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = 47/11 of the rank-17 fibration of X1008 given in curve#3589. Found by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.",
  "created_at": "2026-10-23 00:59:32",
  "updated_at": "2026-10-23 00:59:32"
}