{
  "id": 1688,
  "curve_key": "157351735359361201:-179898062601522133989181801",
  "ainvs": [
    "1",
    "0",
    "0",
    "-3278161153320025",
    "208215349960063114525625"
  ],
  "rank_lower_bound": 6,
  "torsion": [
    5
  ],
  "naive_height": 120.90886520689554,
  "faltings_height": 8.128921385373713,
  "conductor": "6907929947418630",
  "bad_primes": [
    "2",
    "3",
    "5",
    "13",
    "17",
    "29",
    "31",
    "1158976699"
  ],
  "discriminant": "-16474161943622799392992699237479776821939862400000",
  "regulator": "2935.2501543659818760441852405834637525475279755215",
  "points": [
    [
      "552017132",
      "12907507819841"
    ],
    [
      "1180240130",
      "-40502126801125"
    ],
    [
      "108749000",
      "-1066741675525"
    ],
    [
      "12652275245/16",
      "1419697216534625/64"
    ],
    [
      "101605430",
      "961238247695"
    ],
    [
      "466149350",
      "9998373160475"
    ]
  ],
  "submitter": "Michael Rubinstein",
  "history": [],
  "commentary": "Torsion Z/5. From Michael Rubinstein's github repository:\nhttps://github.com/mrubinst/elliptic-curves-by-rank",
  "created_at": "2026-09-25 06:10:18",
  "updated_at": "2026-09-25 06:10:18"
}