{
  "id": 1669,
  "curve_key": "248829764416921:-3897951265019529297469",
  "ainvs": [
    "1",
    "0",
    "1",
    "-5183953425353",
    "4511517235850558648"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    6
  ],
  "naive_height": 99.44337030461716,
  "faltings_height": 6.136368595281685,
  "conductor": "42652114744890",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "17",
    "29",
    "31",
    "37",
    "43",
    "8353"
  ],
  "discriminant": "123022135193636061535001481726756826500",
  "regulator": "407.684001355210776932251922431392872880659634469",
  "points": [
    [
      "1967997",
      "1388832460"
    ],
    [
      "4177119",
      "7463917960"
    ],
    [
      "-2618856",
      "356790535"
    ],
    [
      "1881691674/1681",
      "22953381429830/68921"
    ],
    [
      "383046876/169",
      "4608937259155/2197"
    ]
  ],
  "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 02:50:19",
  "updated_at": "2026-09-25 02:50:19"
}