{
  "id": 1456,
  "curve_key": "1403432163788604966239041:-1662597553321999290475684973043560161",
  "ainvs": [
    "1",
    "0",
    "0",
    "-29238170078929270129980",
    "1924302723749877479432872761104400"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    6,
    2
  ],
  "naive_height": 166.80288904171826,
  "faltings_height": 11.341864194070164,
  "conductor": "386090160017430",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "23",
    "47",
    "503",
    "1031",
    "2087"
  ],
  "discriminant": "8181403930537949069649408733014448930732270424064000000000000",
  "regulator": "318.064501012706295904187595938649665572490",
  "points": [
    [
      "35704790960360/361",
      "683241924852308780/6859"
    ],
    [
      "661645295465531506971974266040/6713948805400703689",
      "1647985120333524114969911693460679721111660/17396706561233928830681290363"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/6+Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 00:00:19",
  "updated_at": "2026-09-25 00:00:19"
}