{
  "id": 3982,
  "curve_key": "29177353460730064274281:-3565997034898959072987053635808821",
  "ainvs": [
    "1",
    "0",
    "1",
    "-607861530431876339048",
    "4127311382934251206939766828006"
  ],
  "rank_lower_bound": 11,
  "torsion": [
    2
  ],
  "naive_height": 155.18303938448585,
  "faltings_height": 10.957792569592128,
  "conductor": "498653576436666580377542225670",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "19",
    "23",
    "41",
    "89",
    "113",
    "167",
    "227",
    "503",
    "631",
    "2063"
  ],
  "discriminant": "7015549784020108327225610128345442751674726764963000531100490000",
  "regulator": "2423260372471450.93289469015255713734843681578657020595578605",
  "points": [
    [
      "12598923324405/529",
      "21626665150236916709/12167"
    ],
    [
      "-3245693102498348295/168714121",
      "6464339917513127323227638723/2191427717669"
    ],
    [
      "62501386938122841/469225",
      "-15369421269171458287262669/321419125"
    ],
    [
      "55437023585471209845/7940770321",
      "-334829071522235134461500762863/707609984074631"
    ],
    [
      "128346319409723745/5424241",
      "21851043318151224941832703/12633057289"
    ],
    [
      "-138613035786510/5041",
      "-81133907006623892398/357911"
    ],
    [
      "726679604591709192141/31529329225",
      "8601236958710960019703025702719/5598505343837125"
    ],
    [
      "174542073626332465/25644096",
      "71755413497308012288956683/129861702144"
    ],
    [
      "622587055369504416102330/8476174263769",
      "465453262703439304885884384916828981/24677423561271637603"
    ],
    [
      "876498632967140977091618/9372127100449",
      "793704578388751271254394203429098558/28691764300424865457"
    ],
    [
      "63094502962797783162053250/440158679641681",
      "494059510260483733835820020691397879058/9234511052376602071079"
    ]
  ],
  "submitter": "Odbayar Shinebayar",
  "history": [],
  "commentary": "Unlisted rational-isogeny neighbor of curve#3623 (source contributor: Michael Rubinstein). Source equation and witness provenance are credited to that entry. Exact rank 11: 11 independent points certified by the unchanged ICARM verifier, with a matching unconditional upper bound computed using PARI/GP 2.17.2 ellrank. This is an additional representative of a known isogeny class, not a claim of a new world rank record.",
  "created_at": "2026-10-05 04:39:04",
  "updated_at": "2026-10-05 04:39:04"
}