{
  "id": 156,
  "curve_key": "36474249:-122606032293",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-759880",
    "142095100"
  ],
  "rank_lower_bound": 9,
  "naive_height": 52.236351188149,
  "faltings_height": 2.3990696156237847,
  "conductor": "1938196651043119330",
  "bad_primes": [
    "2",
    "5",
    "637771",
    "303901659223"
  ],
  "discriminant": "19381966510431193300",
  "regulator": "100835.16934808000041574528314722060871634978015464820244",
  "points": [
    [
      "11",
      "11559"
    ],
    [
      "-37",
      "-13026"
    ],
    [
      "38",
      "10624"
    ],
    [
      "-50",
      "-13390"
    ],
    [
      "-103",
      "-14756"
    ],
    [
      "110",
      "7680"
    ],
    [
      "130",
      "6680"
    ],
    [
      "135",
      "6410"
    ],
    [
      "147",
      "5719"
    ]
  ],
  "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 21:09:14",
  "updated_at": "2026-07-01 22:52:28"
}