{
  "id": 5849,
  "curve_key": "5319623138885290197870703425:-395333086393173291778606421332436305421025",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-110825482060110212455639655",
    "457561442584719016299457644836026300447"
  ],
  "rank_lower_bound": 20,
  "torsion": [],
  "family": null,
  "families": [],
  "naive_height": 191.56109458603862,
  "faltings_height": 13.855882856299678,
  "conductor": "4864621857441501576748303296835966654974471279574715826312503550",
  "bad_primes": [
    "2",
    "3",
    "5",
    "11",
    "61",
    "127",
    "337852693222131285623",
    "375476660541025531712315031428748409"
  ],
  "discriminant": "-3328401129940280527359439133259741643450482889546066651179517951847997726720000",
  "regulator": "2160246406249984060.66977813499212073884040309144911554478538202604783378136422",
  "points": [
    [
      "-5963104238141",
      "30106242094198670510"
    ],
    [
      "6132089929039",
      "2924325345667050590"
    ],
    [
      "8169139938055",
      "-9868077731260806694"
    ],
    [
      "36000196473139",
      "-207664618271600602210"
    ],
    [
      "6421558392499",
      "3269731781999444510"
    ],
    [
      "-3504248317661",
      "-28335314310891145810"
    ],
    [
      "5423751432349",
      "4002809191765325690"
    ],
    [
      "13639698631105",
      "-38516024340708080044"
    ],
    [
      "35133421299149",
      "199827602823074823290"
    ],
    [
      "1317318045029",
      "-17715954275876357830"
    ],
    [
      "55456968270019",
      "-406039501148211502450"
    ],
    [
      "-3565373031581",
      "28414311841064085230"
    ],
    [
      "-3362764692577",
      "28146310334675739230"
    ],
    [
      "7086586322065",
      "-5298435084188261014"
    ],
    [
      "43128911099095",
      "275503145058819255326"
    ],
    [
      "3511660027939",
      "10568108875205369390"
    ],
    [
      "6220295012995",
      "2978308421533174478"
    ],
    [
      "4332779615059",
      "-7662784601347971970"
    ],
    [
      "-10553635101661",
      "-21253642862616024530"
    ],
    [
      "5855118083203",
      "-3064754818736602450"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = -5/2 of the rank-17 fibration of X1092 given in curve#1842. Found by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.",
  "created_at": "2026-10-25 11:49:01",
  "updated_at": "2026-10-25 11:49:01"
}