{
  "id": 5766,
  "curve_key": "175460200483079140094200856016:-63163588106131749706313205388306065013136064",
  "ainvs": [
    "0",
    "0",
    "0",
    "-3655420843397482085295851167",
    "73106004752467302900825469199428315987426"
  ],
  "rank_lower_bound": 22,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 202.01162925045892,
  "faltings_height": 14.825270687413653,
  "conductor": "147725718323159459649304740976684735669654367726596248934676752446916476440",
  "bad_primes": [
    "2",
    "5",
    "11",
    "47",
    "107",
    "15746089",
    "21669380992972142041",
    "195660244118793289143735029526857494722481"
  ],
  "discriminant": "817203901191885814833988896608922289250960996826757789481738326861097256018436000000",
  "regulator": "3348200782649104524645.296160996042703137644979058171220975014416266569624767141724",
  "points": [
    [
      "10184974926677",
      "192177419055336664190"
    ],
    [
      "-19690833431383",
      "-370741934635254336550"
    ],
    [
      "-66080356336933",
      "-161586326778651539600"
    ],
    [
      "45587295403547",
      "-34710815743475534080"
    ],
    [
      "-51300154463683",
      "-354432986815932341350"
    ],
    [
      "113951217387117",
      "1065931154826673169450"
    ],
    [
      "15826509324457",
      "138627743910096207910"
    ],
    [
      "-16972568468783",
      "360913604731825646050"
    ],
    [
      "-187145058714287/9",
      "10107000286919187564770/27"
    ],
    [
      "-38809667806835",
      "-395622203104345781386"
    ],
    [
      "66921707926447",
      "-358034734274955941480"
    ],
    [
      "13259590808907673/289",
      "218283995659265808746870/4913"
    ],
    [
      "127703158241122857/196",
      "45444614332603463427828125/2744"
    ],
    [
      "90717367499117",
      "-698618060523951281450"
    ],
    [
      "63087535843867",
      "-305917063026743748800"
    ],
    [
      "17342567168757",
      "-122178779448962623390"
    ],
    [
      "-65935950446805605/5041",
      "123300673959054290655122584/357911"
    ],
    [
      "-39525944473783",
      "394763944224354141050"
    ],
    [
      "282315751952497/16",
      "7599720987425403698825/64"
    ],
    [
      "-14400010516390",
      "350368538537896663334"
    ],
    [
      "-51859335746783",
      "351003826315231568050"
    ],
    [
      "127593185167753/9",
      "-4194347066515250004250/27"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = -5/12 of the rank-17 fibration of X1152 given in curve#3900. Found by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.",
  "created_at": "2026-10-24 20:44:21",
  "updated_at": "2026-10-24 20:44:21"
}