{
  "id": 1697,
  "curve_key": "90467173953:-402584435891767809",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-1884732791",
    "465954679391262"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    4
  ],
  "naive_height": 81.07336249676386,
  "faltings_height": 4.813953491066732,
  "conductor": "33400306665873",
  "bad_primes": [
    "3",
    "7",
    "43",
    "109",
    "157",
    "193",
    "3733"
  ],
  "discriminant": "-93364477236902748911574149376543",
  "regulator": "5439.9037070703575668917758570454759402542429085381",
  "points": [
    [
      "210185",
      "96617583"
    ],
    [
      "-19173805/484",
      "233119110339/10648"
    ],
    [
      "30884",
      "20893974"
    ],
    [
      "-79282",
      "-10778751"
    ],
    [
      "843584",
      "773657349"
    ],
    [
      "-2481220/289",
      "107827938558/4913"
    ]
  ],
  "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 06:11:48",
  "updated_at": "2026-09-25 06:11:48"
}