{
  "id": 4081,
  "curve_key": "6997209405656928:-585311836669641795532896",
  "ainvs": [
    "0",
    "0",
    "0",
    "-145775195951186",
    "677444255404678004089"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4
  ],
  "naive_height": 109.45286342444014,
  "faltings_height": 6.0571189801022705,
  "conductor": "765056790472",
  "bad_primes": [
    "2",
    "13",
    "17",
    "269",
    "421",
    "3821"
  ],
  "discriminant": "6997209405656912",
  "regulator": "76868.72183844591291983269526990459412835816668",
  "points": [
    [
      "542612924857/77841",
      "857893191380/21717639"
    ],
    [
      "8573226466321/1229881",
      "1413841292688/1363938029"
    ],
    [
      "908307753294121/130302225",
      "11238785525456/1487399898375"
    ],
    [
      "17127700462305713664/2457071925025",
      "30261314101876837/3851472527836312625"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Small-discriminant Z/4Z curve found by searching Tate normal form with a Nagao-type sieve.",
  "created_at": "2026-10-09 05:39:38",
  "updated_at": "2026-10-09 05:39:38"
}