{
  "id": 151,
  "curve_key": "256661184:-4096122507648",
  "ainvs": [
    "0",
    "0",
    "0",
    "-5347108",
    "4740882532"
  ],
  "rank_lower_bound": 9,
  "naive_height": 58.08980226863035,
  "faltings_height": 2.6658136587624983,
  "conductor": "467760769046419720",
  "bad_primes": [
    "2",
    "5",
    "131",
    "62119",
    "1437037337"
  ],
  "discriminant": "74841723047427155200",
  "regulator": "53110.452790351633137598676208541784979819556057572982627",
  "points": [
    [
      "16",
      "-68230"
    ],
    [
      "72",
      "-66002"
    ],
    [
      "-154",
      "-74570"
    ],
    [
      "266",
      "-57770"
    ],
    [
      "-296",
      "-79358"
    ],
    [
      "321",
      "-55295"
    ],
    [
      "488",
      "-47410"
    ],
    [
      "-519",
      "-85885"
    ],
    [
      "534",
      "-45142"
    ]
  ],
  "submitter": "Edgar Costa",
  "commentary": "Found by the ec-smallcond GPU integral-point search (Elkies-Watkins style large-rank/small-conductor sweep); rank >= 9 certified from 9 independent points via PARI/GP ellrank (returned rank exactly 9).",
  "created_at": "2026-06-24 21:09:02",
  "updated_at": "2026-07-01 22:54:24"
}