{
  "id": 1439,
  "curve_key": "1623376:-2068331032",
  "ainvs": [
    "0",
    "1",
    "1",
    "-33820",
    "2382628"
  ],
  "rank_lower_bound": 2,
  "torsion": [
    5
  ],
  "naive_height": 42.900055468238456,
  "faltings_height": 1.222473905133008,
  "conductor": "42549",
  "bad_primes": [
    "3",
    "13",
    "1091"
  ],
  "discriminant": "98434601109",
  "regulator": "5.88993202770007422638216044558148734519622",
  "points": [
    [
      "-88",
      "2164"
    ],
    [
      "211",
      "2164"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/5. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-24 23:48:59",
  "updated_at": "2026-09-24 23:48:59"
}