{
  "id": 2854,
  "curve_key": "16735732333480460563917890655721:60046979248837047672675266490544193484327115019",
  "ainvs": [
    "1",
    "0",
    "1",
    "-348661090280842928414956055328",
    "-69498818575042908305872415175040554816160994"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    6,
    2
  ],
  "naive_height": 215.6852966523528,
  "faltings_height": 15.95799179343778,
  "conductor": "384622999802924792910",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "19",
    "41",
    "53",
    "79",
    "227",
    "443",
    "2297"
  ],
  "discriminant": "626032099437861434339064631622743832757656892414551549746021937623716442935303289940250000",
  "regulator": "19302.3520672418567224977331258055835051548693647",
  "points": [
    [
      "-240171308953870",
      "-621247444955021283753"
    ],
    [
      "-417386751107620",
      "-1820451841460823094878"
    ],
    [
      "-266630790215083",
      "-2123594247488660870277"
    ],
    [
      "-238064752167250",
      "-113220964616005608573"
    ],
    [
      "15636454929856645/9",
      "1825056392925785937002669/27"
    ]
  ],
  "submitter": "Natanael Wildner Fraga",
  "history": [],
  "commentary": "Voznyy (2021). Source: https://dujella.github.io/tors/z2z6old5.html (curve entry 18). Published independent points; exact point coordinates checked.",
  "created_at": "2026-09-26 20:25:26",
  "updated_at": "2026-09-26 20:25:26"
}