{
  "id": 5861,
  "curve_key": "0:15145405196363978220928800",
  "ainvs": [
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  "rank_lower_bound": 7,
  "torsion": [],
  "family": "mordell",
  "families": [
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    "cubesum"
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  "naive_height": 115.9594788608857,
  "faltings_height": 7.720945814198769,
  "conductor": "70117616649833232504300",
  "bad_primes": [
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    "5",
    "29",
    "41",
    "47",
    "113",
    "269"
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  "discriminant": "-132744964445630204683509402243865795336999230000",
  "regulator": "434944587.1878313318611347837238959026027567001487326",
  "points": [
    [
      "135145849/4",
      "-1160377544557/8"
    ],
    [
      "96274077932491/1863225",
      "882580542646565246336/2543302125"
    ],
    [
      "1678435061429761/61528336",
      "-25402141579218837743359/482628267584"
    ],
    [
      "23680493611/25",
      "3644027513373016/125"
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    [
      "4861354395855571/65173329",
      "331714677202523905068856/526144285017"
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    [
      "122712593281/4624",
      "10712836525908671/314432"
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    [
      "1772351204479/30625",
      "2250303380305021558/5359375"
    ]
  ],
  "submitter": "Maksym Voznyy",
  "history": [],
  "commentary": "Voznyy (2026), A = -50960266530, [r, s, t] = [-48, 15, 113] for S2 in https://arxiv.org/pdf/math/0403116",
  "created_at": "2026-10-25 15:34:31",
  "updated_at": "2026-10-25 15:34:31"
}