{
  "id": 5782,
  "curve_key": "0:156736664915632070702472",
  "ainvs": [
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  "rank_lower_bound": 7,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
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  "naive_height": 106.81770811292114,
  "faltings_height": 6.959131585201724,
  "conductor": "58776249343362026513427",
  "bad_primes": [
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    "97",
    "1279",
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  ],
  "discriminant": "-14216656324580514620959076716268914032145203",
  "regulator": "40634606.89317551648842132310923831879495763636965236",
  "points": [
    [
      "1040315371942105151709037/88661730438872809",
      "999726545621091283783477093022128532/26400022983570102938592373"
    ],
    [
      "120542773",
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      "8076488025259/75625",
      "-22950993388455292598/20796875"
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      "20437185885833408611/3059228374225",
      "-57812514352461758913965668359/5350789276363849625"
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      "82519488916181473/216796176",
      "23704679070860321674775951/3192106895424"
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      "759439240416103/50965321",
      "20346746968411900187446/363841426619"
    ],
    [
      "41356735655089/7290000",
      "21318341642681122313/19683000000"
    ]
  ],
  "submitter": "Maksym Voznyy",
  "history": [],
  "commentary": "Voznyy (2026), A = 139971722553, [r, s, t] = [-72, -49, 91] for S2 in https://arxiv.org/pdf/math/0403116",
  "created_at": "2026-10-25 03:56:21",
  "updated_at": "2026-10-25 03:56:21"
}