{
  "id": 1727,
  "curve_key": "161632127822400:-26179280404958791872000",
  "ainvs": [
    "0",
    "0",
    "0",
    "-3367335996300",
    "30300093061294898000"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    4
  ],
  "naive_height": 103.2385104530747,
  "faltings_height": 6.6610472030995,
  "conductor": "1219827152174400",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "47",
    "53",
    "83",
    "313"
  ],
  "discriminant": "-394173664417349484357751912072696320000000",
  "regulator": "4912.0999087865319104608870772585696536332879182045",
  "points": [
    [
      "43849585/4",
      "-289637839575/8"
    ],
    [
      "3294640",
      "7414047900"
    ],
    [
      "-11856695/4",
      "-30185840475/8"
    ],
    [
      "-588555566/361",
      "-38469453441048/6859"
    ],
    [
      "2940965",
      "-6770087975"
    ],
    [
      "-73305614/25",
      "-483521990616/125"
    ]
  ],
  "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 06:16:47",
  "updated_at": "2026-09-25 06:16:47"
}