{
  "id": 1583,
  "curve_key": "-7712:-1765504",
  "ainvs": [
    "0",
    "1",
    "0",
    "161",
    "2097"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    2
  ],
  "naive_height": 28.767893519990274,
  "faltings_height": 0.46997389607875095,
  "conductor": "5360768",
  "bad_primes": [
    "2",
    "7",
    "31",
    "193"
  ],
  "discriminant": "-2069256448",
  "regulator": "36.34230833061797125686507307561748351292926120",
  "points": [
    [
      "-7",
      "26"
    ],
    [
      "-1",
      "44"
    ],
    [
      "-8",
      "19"
    ],
    [
      "9",
      "66"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/2. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:22:20",
  "updated_at": "2026-09-25 01:22:20"
}