{
  "id": 5414,
  "curve_key": "0:-6306283144327238424",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "7298938824452822"
  ],
  "rank_lower_bound": 10,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 86.57615626957808,
  "faltings_height": 5.272335598256468,
  "conductor": "260909742090503810360561327163",
  "bad_primes": [
    "3",
    "11",
    "2978854739089"
  ],
  "discriminant": "-23014587440061250608094754107721067",
  "regulator": "5894474984.095893739746354032420659301662395691811724178677",
  "points": [
    [
      "95832",
      "90438034"
    ],
    [
      "334350",
      "211366741"
    ],
    [
      "701644",
      "593903442"
    ],
    [
      "3595801/4",
      "6852741441/8"
    ],
    [
      "-62454887/324",
      "68123441825/5832"
    ],
    [
      "-1662782/9",
      "850643038/27"
    ],
    [
      "-6137087/64",
      "41014957695/512"
    ],
    [
      "-262863/16",
      "5466103735/64"
    ],
    [
      "-20042/9",
      "2306711575/27"
    ],
    [
      "2584846/9",
      "4753040174/27"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Rank-10 elliptic curve with j-invariant 0, found using Mestre's polynomial cube-completion construction from the integer sextuple (-45,-13,-1,9,11,39).",
  "created_at": "2026-10-21 22:19:44",
  "updated_at": "2026-10-21 22:19:44"
}