{
  "id": 2010,
  "curve_key": "77862463854139492943496828063067772564977127287251940289296:14767150463187209189324970057419734848322358086532603807214700094321417852970330695598656",
  "ainvs": [
    "0",
    "1",
    "0",
    "-1622134663627906102989517251313911928437023485151082089360",
    "-17091609332392603228385382011443182443804623893742574971751280937165834047099354557100"
  ],
  "rank_lower_bound": 13,
  "torsion": [
    2,
    2
  ],
  "naive_height": 406.80688286104186,
  "faltings_height": 31.93206256930451,
  "conductor": "349432175747971837118686050547170875372336606890306428283195130479920",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "101",
    "131",
    "139",
    "149",
    "157",
    "179",
    "653",
    "829",
    "953",
    "1307",
    "4019",
    "7207",
    "29287",
    "44249",
    "121178117",
    "3622521358583"
  ],
  "discriminant": "146977651186617827750964062103175315315956928193198317183532106922511539184346823030945570289594549994475160342989130743757937229491233117662033047365618169336589670976000000",
  "regulator": "282053570522126801497.1407025689485482358346803606640801211888713",
  "points": [
    [
      "2413249810330928217169914837130/49",
      "-1626166932858381823212569673930128284983036480/343"
    ],
    [
      "112600230993336504330212730520272505/524176",
      "-37080855251013002986128217203759689487610952107691925/379503424"
    ],
    [
      "-27738050370011743489780420070",
      "-2561562667440171398997022074594914519985600"
    ],
    [
      "-5321902179145672068805254751295/256",
      "11326163400530039116885869373121687791491882975/4096"
    ],
    [
      "-5081898014348225671363639736413655/389376",
      "331042003266177968378235372960628321946322911073365/242970624"
    ],
    [
      "-252145160456821536902805791554750534310/17803298041",
      "-4142840545850507380074602580953855383861036819733909607360/2375476254312589"
    ],
    [
      "-1538505162226368562025905044119637163286/57264011401",
      "36505107081546022257556769414436408515053849453558859959680/13703220664247899"
    ],
    [
      "-660105310437683654568309729532604525/25836889",
      "-363835150234895432231621395063950075938303224070879460/131328906787"
    ],
    [
      "-312072643093973591560706853293770499343981/13593519189721",
      "142188761329202257460454577757141065722884876923643848180428660/50118476047830754019"
    ],
    [
      "-538197842588243132031898469794433102836214/29725776058225",
      "-408167809934095511359452137342996723473740814542577862827161984/162068944049210560375"
    ],
    [
      "-61091560928102200562313552085435523974734950/2479036034026561",
      "-347309984167633787250023409273644807513710586111097508375065813120/123431003332263716038559"
    ],
    [
      "4575854620232110176834233042692096666849105/53017970446336",
      "8508805660152826158814478856630944040951837178343254542178052775/386042081001605955584"
    ],
    [
      "-1453721088837017689148971266312255121753758287/50155503405611536",
      "26522676885665180640860595653330586913977091846052295300592606287249/11232537847643156902558784"
    ]
  ],
  "submitter": "Steps Unbounded",
  "history": [],
  "commentary": "2-isogenous partner of curve#325 (Jack Cheng).",
  "created_at": "2026-09-26 04:59:09",
  "updated_at": "2026-09-26 04:59:09"
}