{
  "id": 5492,
  "curve_key": "363239171681662762596372519794425:-8226096106332140187401173492631162361716182298125",
  "ainvs": [
    "1",
    "0",
    "1",
    "-7567482743367974220757760829051",
    "9520944567514050512201870335806734336987734498"
  ],
  "rank_lower_bound": 22,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 225.26279203338834,
  "faltings_height": 16.766894519563806,
  "conductor": "283356624296300907327814437722760790765388919150843083033730052415550",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "23",
    "29",
    "37",
    "47",
    "59",
    "1246665990527",
    "77049620549668297771",
    "26124704214009516495361753"
  ],
  "discriminant": "-11424711575694306593667590316802367598908473330686189632334964073621906259439820068473468187500",
  "regulator": "71098327539573798215.00345784017601152140497525000709259121366444469775154478903708",
  "points": [
    [
      "1025596948375067",
      "-53277862582098900231834"
    ],
    [
      "4181610694739117",
      "-225822433308440445813684"
    ],
    [
      "1738748143023692",
      "40244996485756170465666"
    ],
    [
      "5485200751202702",
      "-364756580835919050202464"
    ],
    [
      "2678779838230817",
      "-92042802615972729584334"
    ],
    [
      "-12891223575050857/4",
      "-167020099232232436159047/8"
    ],
    [
      "1113099876494762",
      "49766469707274337864356"
    ],
    [
      "1692261775354262",
      "39509457550947329510481"
    ],
    [
      "-2353432190339173",
      "119564549238451470281286"
    ],
    [
      "3710986931541617",
      "180398694141631088930316"
    ],
    [
      "-387209749622683",
      "111324268750764088601916"
    ],
    [
      "3216508271424923",
      "-135859592906430496446306"
    ],
    [
      "2544280910652956",
      "-82080465302502486280974"
    ],
    [
      "-119212118381190277/169",
      "-264627077753389334632982598/2197"
    ],
    [
      "-3124260026466583",
      "-51650981562380929477734"
    ],
    [
      "-6247555058286457/4",
      "1059215977298374623403653/8"
    ],
    [
      "102867361328406281",
      "-32980934193310965303279174"
    ],
    [
      "-1979805248969458",
      "129394687530175414258641"
    ],
    [
      "9333140944068977",
      "-867109756588154355941364"
    ],
    [
      "-12393138413942377/4",
      "-454354024644913532342127/8"
    ],
    [
      "6919493446182077",
      "537083713972892088251286"
    ],
    [
      "157475436893646451/81",
      "-33856780263050921665698406/729"
    ]
  ],
  "submitter": "Matej Jurasić",
  "history": [],
  "commentary": "Specialization at T = -27/49 of a rank-16 fibration of X1152 (two neighbour steps from the one in curve#3856).",
  "created_at": "2026-10-22 11:58:35",
  "updated_at": "2026-10-22 11:58:35"
}