{
  "id": 1597,
  "curve_key": "1357417:-2275678261",
  "ainvs": [
    "1",
    "0",
    "1",
    "-28280",
    "2631530"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    3
  ],
  "naive_height": 43.09108796323741,
  "faltings_height": 1.6165228489621204,
  "conductor": "35662926",
  "bad_primes": [
    "2",
    "3",
    "13",
    "23",
    "103",
    "193"
  ],
  "discriminant": "-1549514406200436",
  "regulator": "12.81020532007275507994361185166718667552971216",
  "points": [
    [
      "-177",
      "1537"
    ],
    [
      "-87",
      "2149"
    ],
    [
      "-108",
      "2158"
    ],
    [
      "-777/4",
      "7949/8"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/3. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:24:40",
  "updated_at": "2026-09-25 01:24:40"
}