{
  "id": 1549,
  "curve_key": "343625881579774405501761:-201315518673921393233124877887638241",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-7158872532911966781287",
    "233004072541050589930826229991199"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    6,
    2
  ],
  "naive_height": 162.5815213946571,
  "faltings_height": 11.302314745853993,
  "conductor": "206461952006310",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "23",
    "29",
    "107",
    "163",
    "197"
  ],
  "discriminant": "27184780103318366572187508150309202485651415585328403714624000000",
  "regulator": "205.41162012940134158563937627178727563007090",
  "points": [
    [
      "46126808307",
      "965032261114846"
    ],
    [
      "1002105102609123/51529",
      "117634190901164063770778/11697083"
    ],
    [
      "6064780977541563/97969",
      "159537848311437380400862/30664297"
    ]
  ],
  "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 00:53:51",
  "updated_at": "2026-09-25 00:53:51"
}