{
  "id": 1696,
  "curve_key": "32864959339610401:-5957988966446394637305649",
  "ainvs": [
    "1",
    "0",
    "0",
    "-684686652908550",
    "6895820505959439384132"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    5
  ],
  "naive_height": 114.0935504685153,
  "faltings_height": 7.024823475738928,
  "conductor": "23738634901410",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "29",
    "1609",
    "118589"
  ],
  "discriminant": "-4318502712231407284048071581232187500000",
  "regulator": "754.760621681424328655052719912899243283341186437",
  "points": [
    [
      "60421791/4",
      "175731009/8"
    ],
    [
      "16799754",
      "11596639998"
    ],
    [
      "15573254",
      "3145647998"
    ],
    [
      "18811104",
      "25924385298"
    ],
    [
      "15268224",
      "1078349358"
    ]
  ],
  "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 06:11:38",
  "updated_at": "2026-09-25 06:11:38"
}