{
  "id": 388,
  "curve_key": "1090213471713416508200194164311041:-35765924679144004354926954901693055064374182553089",
  "ainvs": [
    "1",
    "0",
    "0",
    "-22712780660696177254170711756480",
    "41395746156416669814359661263389227736207101952"
  ],
  "rank_lower_bound": 19,
  "torsion": [],
  "naive_height": 228.21504477443386,
  "faltings_height": 16.86417463256477,
  "conductor": "41685244993537487215238075916551303005312462761232226482899426955171670",
  "bad_primes": [
    "2",
    "5",
    "7",
    "11",
    "13",
    "41",
    "53",
    "5417",
    "353777101065609033766265404563125673613664117715262750874987"
  ],
  "discriminant": "9599917880856536381058881627733998505888507258688104953135739473953992158955863999360000000000",
  "regulator": "47162479584129012139227.18774671908581360386212870338744488452543994070844821",
  "points": [
    [
      "109886039440562132915153281/536756224",
      "-1151587972032324017473810733172565364479/12435568197632"
    ],
    [
      "4765359035580765361363416/1543154089",
      "-1610062580488842637174914711098171264/60619722078187"
    ],
    [
      "72379124907592152102336/24137569",
      "-1880494597007422009939702239688384/118587876497"
    ],
    [
      "335020994863081278656/85849",
      "-2777298628955145980239841671104/25153757"
    ],
    [
      "3526045176114994",
      "71754831169690059535378"
    ],
    [
      "2952688302920064",
      "8637603481704724752448"
    ],
    [
      "191549356675557343684/62001",
      "412423329387479878711750846352/15438249"
    ],
    [
      "730528075218445339056/237169",
      "-2966487217010425208102027461696/115501303"
    ],
    [
      "892881267545452992/169",
      "-576572178084322599155139008/2197"
    ],
    [
      "112915117962958054276/31329",
      "441999948837164674946485943824/5545233"
    ],
    [
      "4210398820124744",
      "-142847999827071134844872"
    ],
    [
      "3311735603484744",
      "49987887295631234400128"
    ],
    [
      "445839058631301824/121",
      "117035331120286490577759168/1331"
    ],
    [
      "60725988327791904",
      "-14919720768403365970956992"
    ],
    [
      "71201997226791800988008/21743569",
      "4684018653404243480127655351147560/101390262247"
    ],
    [
      "4762822888798736174351744/1242633001",
      "4520190626880924089474324523706216128/43804055918251"
    ],
    [
      "351083772062499188850944/74839801",
      "126348109143274448905124390584801728/647439118451"
    ],
    [
      "331812498152209744348354/55935441",
      "-142117567427296709216577942508456658/418341163239"
    ],
    [
      "21984767255580196/9",
      "597700053401034166985956/27"
    ]
  ],
  "submitter": "y011d4",
  "commentary": null,
  "created_at": "2026-08-27 04:15:59",
  "updated_at": "2026-08-27 04:15:59"
}