{
  "id": 5413,
  "curve_key": "0:-1692898375124144736",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "1959373119356649"
  ],
  "rank_lower_bound": 9,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 83.9459474974709,
  "faltings_height": 5.053151533914204,
  "conductor": "5451618715945823931151788",
  "bad_primes": [
    "2",
    "3",
    "17",
    "19",
    "383",
    "1816141"
  ],
  "discriminant": "-1658509785010398998086701339974832",
  "regulator": "3008806.0188690621718804938796333401942786773411805631108",
  "points": [
    [
      "-124602",
      "4984479"
    ],
    [
      "-104550",
      "28575657"
    ],
    [
      "-82365",
      "37424718"
    ],
    [
      "-38760",
      "43602093"
    ],
    [
      "1938",
      "44264889"
    ],
    [
      "6528",
      "44267949"
    ],
    [
      "67260",
      "47577843"
    ],
    [
      "243048",
      "127737171"
    ],
    [
      "313140",
      "180734157"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Rank-9 Mordell curve found through Mestre's polynomial cube-completion construction, starting from the integer sextuple (-49,-31,-5,7,29,49).",
  "created_at": "2026-10-21 22:18:35",
  "updated_at": "2026-10-21 22:18:35"
}