{
  "id": 1457,
  "curve_key": "3454861351249132920841:-201838486823571493245955165861861",
  "ainvs": [
    "1",
    "0",
    "1",
    "-71976278151023602518",
    "233609359743506019929492438056"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    6,
    2
  ],
  "naive_height": 148.78220783821467,
  "faltings_height": 10.24237640996955,
  "conductor": "51579479254170",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "19",
    "41",
    "439",
    "709",
    "1013"
  ],
  "discriminant": "288588917941935218552589793523189680376399154971875569000000",
  "regulator": "52.7333915855384024430010540260451576802259",
  "points": [
    [
      "5224596485",
      "13228769384157"
    ],
    [
      "5954416004748965/1026169",
      "110661542439301130527329/1039509197"
    ]
  ],
  "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 00:01:19",
  "updated_at": "2026-09-25 00:01:19"
}