{
  "id": 5772,
  "curve_key": "0:388500413347528459098912",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-449653256189269049883"
  ],
  "rank_lower_bound": 7,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 108.63316237327939,
  "faltings_height": 7.110419440231579,
  "conductor": "145687655005323172162092",
  "bad_primes": [
    "2",
    "3",
    "7",
    "31",
    "43",
    "61",
    "137",
    "157"
  ],
  "discriminant": "-87345237946296567649964044898713050279513648",
  "regulator": "23306293.74209968210833799634584137406836987556527677",
  "points": [
    [
      "102314760247/6889",
      "-30398237468590586/571787"
    ],
    [
      "26898259087/81",
      "4411472662754990/729"
    ],
    [
      "2291033124026563/150970369",
      "102362233384154373428120/1854972923903"
    ],
    [
      "2954749903/81",
      "159867503557118/729"
    ],
    [
      "221414323",
      "-3294576312628"
    ],
    [
      "3045409169699239/21631801",
      "-168048051570291123710906/100609506451"
    ],
    [
      "14224498771/625",
      "1663837357539056/15625"
    ]
  ],
  "submitter": "Maksym Voznyy",
  "history": [],
  "commentary": "Voznyy (2026), A = 220369125942, [r, s, t] = [31, 36, 86] for S2 in https://arxiv.org/pdf/math/0403116",
  "created_at": "2026-10-25 01:39:42",
  "updated_at": "2026-10-25 01:39:42"
}