{
  "id": 5765,
  "curve_key": "0:47772673023225407836065140808",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-55292445628733110921371691"
  ],
  "rank_lower_bound": 8,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 132.072502585565,
  "faltings_height": 9.063697791255377,
  "conductor": "73723260838310814561828921",
  "bad_primes": [
    "3",
    "7",
    "11",
    "19",
    "37",
    "229",
    "373",
    "619"
  ],
  "discriminant": "-1320733962837967956150101114693654869537695246701890563",
  "regulator": "3914670652674.12441068411325587754221381518884065643172",
  "points": [
    [
      "225283463113/576",
      "29447908418869253/13824"
    ],
    [
      "406315389809460663764682624184961976936969/69965579446456227620282079302500",
      "258960542602545229680147209934144530493128360719927160082887297/585230097162451365859116441759592670197841375000"
    ],
    [
      "222628909053142179833342748104077761/513676671629085932487577600",
      "59497258083006519587236204979211703385307559504465759/11642192189701124282925549435626881024000"
    ],
    [
      "37176436124014876338532901763271788744591451897/12777508281102833909846188815869841444",
      "7160009607524264610923455736157443404213420152080742249121665903171191/45674021988899771808178278195120021695834425466219065128"
    ],
    [
      "967198426349764247090892577/48709680904479204",
      "30079584870157739126121682756107660137029/10750357994337640607692392"
    ],
    [
      "91227364284850147569436654782958003033/122505047377003595479258204416",
      "810912306437401716102078115851850896542700208551210402083/42877649900222430130996054392655340703166464"
    ],
    [
      "617373866987967561353592762193657/26143434857454032168964",
      "15339861959458514272706509890598872590496786270001/4227114095861637255364048505927688"
    ],
    [
      "84230148458285457722180247334321/195797004443341480526400",
      "427264439297547912073330151204780178971181444119/86638128959209425189017622257088000"
    ]
  ],
  "submitter": "Maksym Voznyy",
  "history": [],
  "commentary": "Voznyy (2023), A = -2862075021113, [r, s, t] = [6, 28, 345] or [112, 123, 250] for S3 in https://arxiv.org/pdf/math/0403116",
  "created_at": "2026-10-24 20:17:27",
  "updated_at": "2026-10-24 20:17:27"
}