{
  "id": 1620,
  "curve_key": "584671486631849671698597409:-11677284324212721832003912117240719479473",
  "ainvs": [
    "1",
    "0",
    "0",
    "-12180655971496868160387446",
    "13515375375245190769414310581867096740"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    6,
    2
  ],
  "naive_height": 184.8992770801238,
  "faltings_height": 13.409954284230563,
  "conductor": "547653461378213190",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "19",
    "29",
    "37",
    "41",
    "97",
    "101",
    "131"
  ],
  "discriminant": "36750907821301854669759843298779661431742944286870410879795185410518806630400",
  "regulator": "1261.226081497408383849052896737588530028395387",
  "points": [
    [
      "3858889231288",
      "4896363403578231886"
    ],
    [
      "1042317329540602/2209",
      "291315235239261181371938/103823"
    ],
    [
      "64191594232370944/289",
      "16261622573822545803753722/4913"
    ],
    [
      "-869313134522",
      "4842234942894439006"
    ]
  ],
  "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 01:43:13",
  "updated_at": "2026-09-25 01:43:13"
}