{
  "id": 6149,
  "curve_key": "2078760790592059651073709223179311908703425:-3023235905509487532383926896417061970487343882950921563076520225",
  "ainvs": [
    "1",
    "0",
    "0",
    "-43307516470667909397368942149568998097988",
    "3499115631376721680996306429665710510429089489717769207422992"
  ],
  "rank_lower_bound": 25,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 292.338377216529,
  "faltings_height": 22.22021807217727,
  "conductor": "1971884938673174193750900402502247077454485322961163350472203675043968633295043896460563650",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "17",
    "19",
    "23",
    "43",
    "67",
    "191",
    "41763087850759017300427000716247995895821453556481507935971679278357271245437"
  ],
  "discriminant": "-90924598737824018417998700543665943399245461384465041304786004702462641090746514971852231123714681828437063890385950720000",
  "regulator": "10469462711792200807376844.45293009580512022838213710366322439163551107900209668238839141",
  "points": [
    [
      "57153550796485605863598553969699560488139849192/28451414059674017917057081",
      "13593037491661830488746615644744651433070057782170197109480437067790284/151759464040868231365318512969019511021"
    ],
    [
      "26254220253896575292163/4",
      "-4251899333964033913253231430175353/8"
    ],
    [
      "43501035467636437639452",
      "-9072864641805683756160356791642056"
    ],
    [
      "-4141379699513867764632/169",
      "4684125448666349633972983348559148/2197"
    ],
    [
      "208672244310348277939242/1681",
      "13076370226518368713094379940056744/68921"
    ],
    [
      "35054001577906781295212",
      "6562945036438582379257084728251564"
    ],
    [
      "17105838178285279970148/169",
      "-858244426484094550065823073843952/2197"
    ],
    [
      "1276041678803248773477642/10201",
      "203793124764374446724307941547634374/1030301"
    ],
    [
      "10833547186098540170232",
      "1127395963092828365660149566266364"
    ],
    [
      "19254277632104775121182",
      "-2671564001883075902520818607283446"
    ],
    [
      "199337942770547475552",
      "1669461058371040955064166359804"
    ],
    [
      "30771343357875235997448/289",
      "1514645088587436429203822925775932/4913"
    ],
    [
      "1831290699263602082226476/6241",
      "-1975595127509058541300584988727395180/493039"
    ],
    [
      "-12332279031104110428",
      "-2007814845210449619824765907216"
    ],
    [
      "41602066789937719492644/169",
      "6118312214745413915614341719652060/2197"
    ],
    [
      "454897704886424081268",
      "8827880953294776705651952392480"
    ],
    [
      "440347591768815780130409655768/3210015649",
      "-67972252239731015735453144219757750607009428/181869856625393"
    ],
    [
      "189932320022370798254676/625",
      "-67028832233477740332478739696058624/15625"
    ],
    [
      "106422788072675274312",
      "309084523036893004221320556924"
    ],
    [
      "153062092976033194032",
      "-675511578172227257403026628996"
    ],
    [
      "10375562601695274041235912/58081",
      "-16933185772472112661356296552470987716/13997521"
    ],
    [
      "7742680586673250158638187/45796",
      "-9848626891511685766058681374621011339/9800344"
    ],
    [
      "21636141803712485185416/25",
      "-3097968948053527240142966336493876/125"
    ],
    [
      "16535887057207889983006248/2209",
      "67216387814195403294433387599977395812/103823"
    ],
    [
      "1426125867444597523272",
      "-53312679873307917563102719885956"
    ]
  ],
  "submitter": "Ritik Jain",
  "history": [],
  "commentary": null,
  "created_at": "2026-10-29 13:48:17",
  "updated_at": "2026-10-29 13:48:17"
}