{
  "id": 5771,
  "curve_key": "0:34624627913208617245728",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-40074800825472936627"
  ],
  "rank_lower_bound": 7,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 103.7977043422716,
  "faltings_height": 6.7074646043142625,
  "conductor": "12984235467453231467148",
  "bad_primes": [
    "2",
    "3",
    "13",
    "19",
    "37",
    "47",
    "67",
    "127"
  ],
  "discriminant": "-693787533638972988766306307156564315239728",
  "regulator": "14354685.24701713246952780343776525406960856693639877",
  "points": [
    [
      "305672233/36",
      "5166324835595/216"
    ],
    [
      "77763751",
      "685720756318"
    ],
    [
      "474651532864327/7230721",
      "-10340262529457233429706/19443408769"
    ],
    [
      "2844277903/729",
      "86511112749082/19683"
    ],
    [
      "920010774549451/31013761",
      "27884043825690636705992/172715635009"
    ],
    [
      "33005079330149329/6849217600",
      "-4803873697745147035157017/566841248576000"
    ],
    [
      "7996471561/576",
      "709693190586523/13824"
    ]
  ],
  "submitter": "Maksym Voznyy",
  "history": [],
  "commentary": "Voznyy (2026), A = -65788133346, [r, s, t] = [26, 36, 47] for S2 in https://arxiv.org/pdf/math/0403116",
  "created_at": "2026-10-25 01:32:35",
  "updated_at": "2026-10-25 01:32:35"
}