{
  "id": 1609,
  "curve_key": "-33029596079:-1720678347512281",
  "ainvs": [
    "1",
    "0",
    "0",
    "688116585",
    "1991583208225"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    6
  ],
  "naive_height": 72.66200954208368,
  "faltings_height": 4.129584917787331,
  "conductor": "2680891070",
  "bad_primes": [
    "2",
    "5",
    "11",
    "13",
    "19",
    "79",
    "1249"
  ],
  "discriminant": "-22566268002590249075678683000",
  "regulator": "226.7475657616525416085098649072656554515774357",
  "points": [
    [
      "54040",
      "14008375"
    ],
    [
      "166900",
      "68952385"
    ],
    [
      "-2548",
      "472147"
    ],
    [
      "12392",
      "3518247"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/6. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 01:31:58",
  "updated_at": "2026-09-25 01:31:58"
}