{
  "id": 4155,
  "curve_key": "25883026451848464937:-92676438568023094432094678101",
  "ainvs": [
    "1",
    "0",
    "1",
    "-539229717746843020",
    "107264396445831660595280070"
  ],
  "rank_lower_bound": 16,
  "torsion": [],
  "naive_height": 134.10035723524075,
  "faltings_height": 9.202826043853689,
  "conductor": "13540616083359048987372131941710748131554890287295966",
  "bad_primes": [
    "2",
    "11",
    "17",
    "2699",
    "47797",
    "404017",
    "694646192655632801382996797032271659"
  ],
  "discriminant": "5064190415176284321277177346199819801201528967448691284",
  "regulator": "906373662493014.6130733818726548152804051282713534737928744019620917220",
  "points": [
    [
      "171982674",
      "4428586285158"
    ],
    [
      "600510378",
      "-55365218698"
    ],
    [
      "616750563",
      "3048382970109"
    ],
    [
      "816701435",
      "14546604305919"
    ],
    [
      "-428389921",
      "-16113374590167"
    ],
    [
      "3108121660",
      "-168693682708230"
    ],
    [
      "-611307558",
      "14438305532559"
    ],
    [
      "169743045",
      "-4541522734791"
    ],
    [
      "160163035",
      "5000746064895"
    ],
    [
      "-330996771",
      "15795229986437"
    ],
    [
      "-524081377",
      "15682091735799"
    ],
    [
      "-736019771",
      "10268169306937"
    ],
    [
      "6551203075/9",
      "270584184836965/27"
    ],
    [
      "2355384157",
      "-109108706370587"
    ],
    [
      "-20004226994/25",
      "642489719308214/125"
    ],
    [
      "13833619303/9",
      "-1456489962971357/27"
    ]
  ],
  "submitter": "Andrii Prokhorenkov",
  "history": [],
  "commentary": "Mestre construction: sextuple [-291, -162, -97, -42, 259, 333], T = 4; y^2 = r(x) with p(x-T)p(x+T) = g(x)^2 - r(x).",
  "created_at": "2026-10-11 17:18:18",
  "updated_at": "2026-10-11 17:18:18"
}