{
  "id": 1686,
  "curve_key": "1597185200431696:-63833421611834536623256",
  "ainvs": [
    "0",
    "1",
    "1",
    "-33274691675660",
    "73881263922133488464"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    5
  ],
  "naive_height": 105.02112771155923,
  "faltings_height": 6.415588486769437,
  "conductor": "4015669710885",
  "bad_primes": [
    "3",
    "5",
    "7",
    "19",
    "43",
    "46810861"
  ],
  "discriminant": "-165142822338802779031702929865341796875",
  "regulator": "526.480825514970530257832329017711001106011406824",
  "points": [
    [
      "3223561",
      "-339723563"
    ],
    [
      "-5818064",
      "8398504687"
    ],
    [
      "42390001/16",
      "133030659793/64"
    ],
    [
      "953404504/289",
      "547549567856/4913"
    ],
    [
      "702974239/49",
      "-17318210695484/343"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/5. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 04:48:47",
  "updated_at": "2026-09-25 04:48:47"
}