{
  "id": 3927,
  "curve_key": "809626584847637991884811917686436881:-728328633762741916533641419614662859452203489578873721",
  "ainvs": [
    "1",
    "0",
    "0",
    "-16867220517659124830933581618467435",
    "842972955743914253841668451786117906973362978066225"
  ],
  "rank_lower_bound": 11,
  "torsion": [
    3
  ],
  "naive_height": 248.04564361143883,
  "faltings_height": 18.392833951047866,
  "conductor": "255374662650346705382646559358855732546892081330",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "23",
    "233",
    "241",
    "347",
    "647",
    "2143",
    "805038825809109964591466011"
  ],
  "discriminant": "141057280847071075368977210238323644732795927802564855019622262241059649506028059531092271784768000000",
  "regulator": "23714389696169.1973930855798269556927448038840858555867320695",
  "points": [
    [
      "192567760634774966499693746662530/317998662555289",
      "2615246597520590176269151723983138746355764280945/5670716555994454532413"
    ],
    [
      "1113102444534638917899750/14145121",
      "91400806835575262804926834387887585/53199800081"
    ],
    [
      "2143757136081440201265100433796866919634018830/28197817767221465071099919089",
      "1081420056123960028018168399138623179887298558085567598764072993945/4735035607731185485440352558207544650554313"
    ],
    [
      "857174166943916617830/6889",
      "14807065662888865722525580089555/571787"
    ],
    [
      "65297383585504177265970/687241",
      "-5642930901479805881773822335316215/569722789"
    ],
    [
      "803185895984007826150/9",
      "-22762693509038609790083464468445/27"
    ],
    [
      "76205244960120683362700220/999002449",
      "13687182840343989664347757799947348215/31575470405543"
    ],
    [
      "4109244085724195714058420/54007801",
      "-113358067804425930995490842274682065/396903329549"
    ],
    [
      "6960237536129541779940054064629947666430/16855497150408936303769",
      "554860930673328673249292181563948687852491738430525302355955/2188327659830779443296176931486147"
    ],
    [
      "181723011883001298071822670/764356609",
      "-2141666808423364829713388005456612939185/21132167169023"
    ],
    [
      "2392602259604898038733342809765550/31504547088011209",
      "-693868101207349644884661759236397916166043263205/5591905980809608407730427"
    ]
  ],
  "submitter": "Maksym Voznyy",
  "history": [],
  "commentary": "Eroshkin - Voznyy (2026)",
  "created_at": "2026-10-05 01:28:42",
  "updated_at": "2026-10-05 01:28:42"
}