{
  "id": 744,
  "curve_key": "72984771456170271313179563781193180561:-622784292699102676656466633345337417827940243400159338425",
  "ainvs": [
    "1",
    "0",
    "0",
    "-1520516072003547319024574245441524595",
    "720815153586924394151608190001252327382142242741168481"
  ],
  "rank_lower_bound": 22,
  "torsion": [],
  "naive_height": 261.54994247094737,
  "faltings_height": 19.575190367833436,
  "conductor": "1361362064915177000972459768633252512530237534503251316734019645760857255743706022",
  "bad_primes": [
    "2",
    "3",
    "7",
    "11",
    "17",
    "23",
    "29",
    "59",
    "71",
    "163",
    "167",
    "2278990305852176197542295097626626443712221537052155162100626666591"
  ],
  "discriminant": "528539827264313417385485714500388633927564851884176956989921760052400125799104625018634077682668074266263552",
  "regulator": "8205561413943454213804.241979962723574424991990899386792227237609110123851170521318",
  "points": [
    [
      "-5646163849602565729/4",
      "-1870427763056769630403873667/8"
    ],
    [
      "-1337553221278447864",
      "-601363931844141385678691689"
    ],
    [
      "-1213043223832155694",
      "-883349009151119478588699859"
    ],
    [
      "-1111933852726638898",
      "-1018202772524290544033719591"
    ],
    [
      "2149961010254713502957/21904",
      "-2452895745232115405570168646834349/3241792"
    ],
    [
      "320620110186195710",
      "-516009680577351530692833271"
    ],
    [
      "33466427046148811726/49",
      "-10381512094593451226905155457/343"
    ],
    [
      "6189042147675291454/9",
      "-535944951957823804749367069/27"
    ],
    [
      "731922764680219310",
      "-3722084560116820063691239"
    ],
    [
      "839805271789504526",
      "-190183163056310061427014247"
    ],
    [
      "942271629479883494",
      "-353123485904700011495388559"
    ],
    [
      "1520220112654338854",
      "-1386589307326212291832916815"
    ],
    [
      "1868371908749638798",
      "-2098109551691371482856376807"
    ],
    [
      "2900847842262652238",
      "-4551969542403383425377296167"
    ],
    [
      "7741480144459985702",
      "-21281462847243430210783249231"
    ],
    [
      "10068684994629036974",
      "-31720002670055142350442650599"
    ],
    [
      "26833236869801478734",
      "-138854086914311188924572144679"
    ],
    [
      "681953645839846886",
      "-32304269795931053711215447"
    ],
    [
      "731762190580787102",
      "-46035518929386678245191"
    ],
    [
      "672135893788056808",
      "-49702234944776340955233161"
    ],
    [
      "2343657942221190823118/1681",
      "-78912847395034362669870480755471/68921"
    ],
    [
      "1391439632390604682622/1849",
      "-4162639411505526696478481021989/79507"
    ]
  ],
  "submitter": "Valery Asiryan",
  "history": [],
  "commentary": "Specialization T=-41/94 of the family identified by wgxli in the commentary to curve #302. The points were obtained by specializing reconstructed generic sections and running minimized quartic searches. The 22 listed points are certified independent by exact quadratic-character certificates.",
  "created_at": "2026-09-16 18:16:52",
  "updated_at": "2026-09-16 18:16:52"
}