{
  "id": 154,
  "curve_key": "188474832:-2655482353344",
  "ainvs": [
    "0",
    "0",
    "0",
    "-3926559",
    "3073474946"
  ],
  "rank_lower_bound": 9,
  "naive_height": 57.21529486292699,
  "faltings_height": 2.675101772963943,
  "conductor": "716225953128355512",
  "bad_primes": [
    "2",
    "3",
    "1663",
    "5669",
    "5801",
    "60631"
  ],
  "discriminant": "-206273074500966387456",
  "regulator": "61186.124504384347188884237562748022432111958022609102918",
  "points": [
    [
      "-26",
      "-56352"
    ],
    [
      "67",
      "-53016"
    ],
    [
      "-202",
      "-62116"
    ],
    [
      "263",
      "-45376"
    ],
    [
      "265",
      "-45294"
    ],
    [
      "397",
      "-39714"
    ],
    [
      "509",
      "-34738"
    ],
    [
      "-551",
      "-71202"
    ],
    [
      "-563",
      "-71454"
    ]
  ],
  "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 21:09:10",
  "updated_at": "2026-07-01 22:54:24"
}