{
  "id": 1553,
  "curve_key": "1941755794159529821236201:-2339834009551849219692722217720269301",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-40453245711656871275754",
    "2708141214769198056442639006847028"
  ],
  "rank_lower_bound": 3,
  "torsion": [
    6,
    2
  ],
  "naive_height": 167.77690453247607,
  "faltings_height": 11.970424560364993,
  "conductor": "82723673942910",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "29",
    "37",
    "71",
    "709"
  ],
  "discriminant": "1068520298510498662624511226828906103686799966011631534467515625000000",
  "regulator": "597.30108526540920271981315145749324792595829",
  "points": [
    [
      "18335094492",
      "44413850664494454"
    ],
    [
      "222493402417",
      "68714674111394454"
    ],
    [
      "-31277399172061548/212521",
      "7248631259535675622293054/97972181"
    ]
  ],
  "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 00:54:32",
  "updated_at": "2026-09-25 00:54:32"
}