{
  "id": 1636,
  "curve_key": "33378000816234369291553:-6092418870412737810459561223284529",
  "ainvs": [
    "1",
    "0",
    "0",
    "-695375017004882693574",
    "7051410729586424547725937117300"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    8
  ],
  "naive_height": 155.5865519329513,
  "faltings_height": 10.736027653649066,
  "conductor": "2102768214757266",
  "bad_primes": [
    "2",
    "3",
    "7",
    "17",
    "19",
    "37",
    "41",
    "59",
    "137",
    "12641"
  ],
  "discriminant": "39676250965657794545310108737593651816540484750974336444208112",
  "regulator": "16478.46276359547323546869519548500155998923457",
  "points": [
    [
      "72683579947024233/4426816",
      "2287702351689916803481863/9314020864"
    ],
    [
      "302378426732",
      "165662351815130150"
    ],
    [
      "182459092209354/11449",
      "159736462777623040128/1225043"
    ],
    [
      "10583939077725/16",
      "34405721886486641145/64"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/8. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 02:03:19",
  "updated_at": "2026-09-25 02:03:19"
}