{
  "id": 4121,
  "curve_key": "14429342711563098399724938440065035524730611183900113425:-43367509717138304853090123974045068737963796538518222252520391730758256267702805625",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-300611306490897883327602884168021573431887732997919030",
    "50193876987428593579965421341408693217589976084815330130570661564868063188950597"
  ],
  "rank_lower_bound": 21,
  "torsion": [
    2
  ],
  "naive_height": 381.02657652987773,
  "faltings_height": 29.762979230705923,
  "conductor": "4178638861833190752303116809257681047270030756539116341979925537516195581325565936225850",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "23",
    "29",
    "41",
    "43",
    "131",
    "151",
    "167",
    "179",
    "197",
    "251",
    "331",
    "389",
    "463",
    "607",
    "797",
    "977",
    "1051",
    "1427",
    "4969",
    "6971",
    "19381",
    "125921",
    "1644949",
    "6797369",
    "178110811"
  ],
  "discriminant": "650193191654509113292632972797762680738505880457140731283181487678333381687750234005100690109996304140030238294982345098548639351076392973234656821882338284000000",
  "regulator": "777214800652131011390211.59333589417485663050547035886556923594270213227754152211",
  "points": [
    [
      "186231711179911580010839669",
      "818201558933054139955900086814002275715"
    ],
    [
      "188440772098619769768658059",
      "487819533687568935377863258203862196145"
    ],
    [
      "52978747169735012679145373",
      "5866563266401428982190141762049124902255"
    ],
    [
      "93750995821405850582016929",
      "4778626216329987729449783295361770935835"
    ],
    [
      "-73110213707414116106711257",
      "8472358125088793377727246275651090093371"
    ],
    [
      "164455682879852171634121169",
      "2281327178236850821452997960119263249715"
    ],
    [
      "446904910486247779238558193",
      "2259832708737987480603212748636948700371"
    ],
    [
      "504111068415405786529937309",
      "5173114362940898820570994477403960689395"
    ],
    [
      "574880584743429709896987809",
      "8207875968887605872598326206644209091395"
    ],
    [
      "-512588717467991033803657465",
      "8342816923472956417793425917438946065021"
    ],
    [
      "-559712657248815031449995941",
      "6565365451815383371085695008734675164545"
    ],
    [
      "653346090275605835410596273",
      "11518623828888491921034826680300367870355"
    ],
    [
      "871914415575186787900135529",
      "21235493435567867945768855345343472247835"
    ],
    [
      "-330266798739357909976168341",
      "10651365039756448388950148736272685115395"
    ],
    [
      "1733878068251294199373548059",
      "68859172590741223250363811261472618687395"
    ],
    [
      "4534987489506891468884893809",
      "303239152912559209426474461158368701075795"
    ],
    [
      "3880873107991205409010690861/9",
      "23333846401670953069910483147345256415345/27"
    ],
    [
      "18278183934251475254032348091/4",
      "2453954669522252860246390801327077234400305/8"
    ],
    [
      "25054093391287632812323916915/361",
      "37358044591645590904803847257672044816493057/6859"
    ],
    [
      "-131543401836019080587796565519/289",
      "47308372899137041363981661362041553908300555/4913"
    ],
    [
      "1275359983221308397077669347211/38809",
      "48564991758714766646673286661550684802267566855/7645373"
    ]
  ],
  "submitter": "wgxli",
  "history": [],
  "commentary": "2-isogenous to curve #4120",
  "created_at": "2026-10-09 20:20:43",
  "updated_at": "2026-10-09 20:20:43"
}