{
  "id": 4387,
  "curve_key": "-801125902753868998034913344:-30145308214142166747463989627359083518304",
  "ainvs": [
    "0",
    "1",
    "0",
    "16690122974038937459060695",
    "34890403025633071183889482455263070600"
  ],
  "rank_lower_bound": 8,
  "torsion": [
    6
  ],
  "family": null,
  "families": [],
  "naive_height": 186.4136958460875,
  "faltings_height": 13.635783720852533,
  "conductor": "138069388263663287852601180",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "37",
    "41",
    "53",
    "71",
    "163",
    "173",
    "18913",
    "44417"
  ],
  "discriminant": "-823440037278438075350232695074884466698313137314473218429368899284567931566000",
  "regulator": "86698449542.0044644547145639217773606753594150896821160",
  "points": [
    [
      "167107345714205545/177241",
      "535302948409532698655254995/74618461"
    ],
    [
      "2582598213575772745/234256",
      "4476530788747889598058860045/113379904"
    ],
    [
      "5900865647019372403825/853107264",
      "546634958366776869242769101840855/24917556966912"
    ],
    [
      "594509515020553/256",
      "38023216934127822171621/4096"
    ],
    [
      "-2483702019990191918775/1409777209",
      "7106804680506024050337233005245/52932904866323"
    ],
    [
      "290215961345383268437033/117238444801",
      "383722942799529761928190450707596319/40142560738307201"
    ],
    [
      "256672576552322920604065/3081027049",
      "130197864671933076215101234316271285/171018568408843"
    ],
    [
      "15432709512562695009303625/745409483641",
      "61912466404845542519773735353447454365/643564931300613811"
    ]
  ],
  "submitter": "Volkan Dagli",
  "history": [],
  "commentary": "2-ISOG#1 dujella/z6old678.html#pre123 + Werr 4-Pillar Multi-Layer Algebraic Sieve conductor factorization.",
  "created_at": "2026-10-17 10:21:11",
  "updated_at": "2026-10-17 10:21:11"
}