{
  "id": 1695,
  "curve_key": "13854278113:-1618866566691569",
  "ainvs": [
    "1",
    "1",
    "1",
    "-288630794",
    "1873567893062"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    4
  ],
  "naive_height": 70.0555797327259,
  "faltings_height": 3.6894016987752556,
  "conductor": "23832077997",
  "bad_primes": [
    "3",
    "7",
    "13",
    "17",
    "29",
    "53",
    "257"
  ],
  "discriminant": "22265821630729635625421937",
  "regulator": "291.906224854004281038083987450317209001305199614",
  "points": [
    [
      "13356",
      "626818"
    ],
    [
      "-4545",
      "1760548"
    ],
    [
      "-41385/4",
      "15538343/8"
    ],
    [
      "36407/4",
      "164699/8"
    ],
    [
      "-6909/4",
      "12314837/8"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/4. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 06:11:28",
  "updated_at": "2026-09-25 06:11:28"
}