{
  "id": 1656,
  "curve_key": "7845666393149776:-694978089330427784320024",
  "ainvs": [
    "0",
    "1",
    "1",
    "-163451383190620",
    "804372734093089612756"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    5
  ],
  "naive_height": 109.79633454359904,
  "faltings_height": 6.82993956762726,
  "conductor": "111635625800985",
  "bad_primes": [
    "3",
    "5",
    "11",
    "13",
    "17",
    "29",
    "1789",
    "59009"
  ],
  "discriminant": "-33923913569676056976412138510141486096875",
  "regulator": "613.748226770722301498660708115069562689950956957",
  "points": [
    [
      "8204080",
      "3949177732"
    ],
    [
      "224956460",
      "3368686483012"
    ],
    [
      "9858095",
      "12291595552"
    ],
    [
      "28580957/4",
      "9014701703/8"
    ],
    [
      "7436885",
      "342594037"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/5. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 02:30:28",
  "updated_at": "2026-09-25 02:30:28"
}