{
  "id": 5555,
  "curve_key": "30784785385758914949903678921721:-182851124639320051585102134252398404518932432269",
  "ainvs": [
    "1",
    "0",
    "1",
    "-641349695536644061456326644203",
    "211633246110324080333245434738455994980803298"
  ],
  "rank_lower_bound": 18,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 217.65000295984015,
  "faltings_height": 16.089621581546783,
  "conductor": "1458142874004286384264242840405732560735763666699062430",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "13",
    "23",
    "37",
    "43",
    "47",
    "53",
    "139",
    "176903",
    "151642538601742708809473420116543777"
  ],
  "discriminant": "-2465104149988738038790015820884628588173854782065525713745503258589373060246800792860937500",
  "regulator": "1741204652140932.5530921255804084688481465693968375806126380305213276724368",
  "points": [
    [
      "552883629353224",
      "-5103639825713776866175"
    ],
    [
      "558084612376174",
      "5246523294531090456800"
    ],
    [
      "520258894159459",
      "-4333991753115983958370"
    ],
    [
      "428868509428099",
      "3931865811257613120950"
    ],
    [
      "16431148059805141/9",
      "1933085097847038566909900/27"
    ],
    [
      "332639868813124",
      "-5924620852929634571350"
    ],
    [
      "-810634211046491",
      "-14101168173747640619290"
    ],
    [
      "-291552619626671",
      "-19334880330195092076070"
    ],
    [
      "2454455148128791/4",
      "56074945725457883256265/8"
    ],
    [
      "1212618477339724",
      "34885638267826828016450"
    ],
    [
      "-578107151422151",
      "19728003913984773344450"
    ],
    [
      "5544016134175974",
      "-408726680481863806491800"
    ],
    [
      "454892278099054",
      "-3744023398864316818720"
    ],
    [
      "383675891128699",
      "-4694963422428134291950"
    ],
    [
      "2712927113129974",
      "135789431168874686202200"
    ],
    [
      "8292549277710724",
      "751759099811056170743825"
    ],
    [
      "768488797347349",
      "13138244769622701487700"
    ],
    [
      "455661823205524",
      "-3742017003666401122150"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = 45/32 of the rank-17 fibration of X1152 given in curve#3926. Found by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.",
  "created_at": "2026-10-23 02:38:05",
  "updated_at": "2026-10-23 02:38:05"
}