{
  "id": 725,
  "curve_key": "40815982301777701919188341118893808104248681565121:-231803422410547104392487071414836821014197204126079776084397239883271051169",
  "ainvs": [
    "1",
    "0",
    "0",
    "-850332964620368789983090439976954335505180865940",
    "268290998160355444898711817350536305957921672851351964981116994803528592"
  ],
  "rank_lower_bound": 27,
  "torsion": [],
  "naive_height": 342.69947457451093,
  "faltings_height": 26.537386084191994,
  "conductor": "20852911486978615213515524023207651425652574894610641921693383601594492947096474557986507014191220888983630",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "11",
    "13",
    "17",
    "29",
    "31",
    "41",
    "53",
    "71",
    "140594917",
    "574175953721",
    "765239683751203",
    "4767301025119311657119401271590390184312602920466787397559"
  ],
  "discriminant": "8254821159983526799865867935685823116190433307423155713720753121932515043129006286473325913283104656292864291794591134315382720609618145280000000",
  "regulator": "169043853189814661753236103235.21740051324521313608195351196172411646389925051549153762438847",
  "points": [
    [
      "-9598328911134337278296",
      "-525786923919470333461145197565099732"
    ],
    [
      "-622071816502874552449976",
      "746012036432604561317198597060332588"
    ],
    [
      "671660442080935696710124",
      "-12674654326229165485118023562475812"
    ],
    [
      "17056574285999734016082613576/49",
      "2227594785457249396335329404263475685706484/343"
    ],
    [
      "-377595446836350896193146",
      "731803203662647634209334789905588168"
    ],
    [
      "10464888344453219550168904",
      "-33725661775606434743699988555157568372"
    ],
    [
      "193334001784856150482279624",
      "2688174324024120021575773084727884946188"
    ],
    [
      "69860418699369952122346024",
      "583860520375021888445891938829389785388"
    ],
    [
      "380029929622936860667624",
      "-4897753922994617854639193831961812"
    ],
    [
      "339878220456935516834093224",
      "6265899236195513857317004222770628242988"
    ],
    [
      "-696259441301986679951576",
      "723057842717003230684087907465346988"
    ],
    [
      "-931147634892887955567416",
      "-502730626335615466738511858455607252"
    ],
    [
      "17251237086053143234689544",
      "71551775176283331446700204247424904748"
    ],
    [
      "199504104706391473003624",
      "326476218646132963905178352388710188"
    ],
    [
      "283789599831389841705124",
      "223228085165058754677232281597644188"
    ],
    [
      "-181545418940699317155176",
      "645508748474360052625006714042569388"
    ],
    [
      "2042841879371727664986408",
      "-2656386446280833173822436831915973204"
    ],
    [
      "5256937682499427442137431784/6241",
      "-190743586065456233905941793789775257497068/493039"
    ],
    [
      "1865212921914081744194237224/2401",
      "-32547351038452785702384249415308071587988/117649"
    ],
    [
      "835008371553706719894253666/2209",
      "-3069498968322201075002503604858695034776/103823"
    ],
    [
      "6216009841560769588982824",
      "15334980906842717365937115781656777388"
    ],
    [
      "1440596950177938997459624",
      "1425834131306998548819252013467014188"
    ],
    [
      "81728964538573179434351755486/80089",
      "15426365942024634414001160130412325740215256/22665187"
    ],
    [
      "825088275909184987395304",
      "-358311500084513689493505891407570132"
    ],
    [
      "3044750023042295208156124",
      "5089754709466480518627928111710356188"
    ],
    [
      "68805048723959329759092724",
      "570678659007760418779473991485630418288"
    ],
    [
      "2112691909352169322192624",
      "2811001647365635055257876303054694188"
    ]
  ],
  "submitter": "FNacc",
  "history": [],
  "commentary": null,
  "created_at": "2026-09-13 11:14:37",
  "updated_at": "2026-09-13 11:14:37"
}