{
  "id": 1879,
  "curve_key": "89044058149231494514506688192004289001:-907321973780653189277566865479978237124094338995430608501",
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  "rank_lower_bound": 25,
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  "naive_height": 262.30018479286133,
  "faltings_height": 19.81608960055803,
  "conductor": "69062427480259048824550406812767439577003784449886971318180672520277543824578700418867349370",
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  "discriminant": "-67833733761766766725202599004311914114706476619026417283566709466227560777849019459991558354240268275080762500",
  "regulator": "98117630437747006002790225.26591864505898819693294884112275301951427033426562120102189834",
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  ],
  "submitter": "Ritik Jain",
  "history": [
    {
      "kind": "primes_recorded",
      "user": "Daniel Błażewicz",
      "at": "2026-09-25 17:41:47"
    }
  ],
  "commentary": "Specialization at T = 134/19 of the rank-17 fibration of X1092 given by:\r\ny^2 + (Lx+B)y = x(x+D)(x+E),\r\nwhere\r\nB = pE + qD + pq(L-p-q),\r\nL = 55383T^2 + 56058T + 719878,\r\np = -114347T^2 + 352493T + 61050,\r\nq = 169706T^2 + 291795T - 41886,\r\nD = -28328439982T^4 + 102089108086T^3 + 44484660298T^2 - 200379282670T - 5489566500,\r\nE = 7(2524119806T^4 - 4100464067T^3 - 2893055278T^2 - 2444573283T + 1576980522).",
  "created_at": "2026-09-25 17:33:45",
  "updated_at": "2026-09-25 17:41:47"
}