{
  "id": 4040,
  "curve_key": "42976:-113380480",
  "ainvs": [
    "0",
    "1",
    "0",
    "-895",
    "130929"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "naive_height": 37.09251960080472,
  "faltings_height": 1.1488812377346158,
  "conductor": "846118016",
  "bad_primes": [
    "2",
    "17",
    "89",
    "257"
  ],
  "discriminant": "-7393379223808",
  "regulator": "129.669960038072202551098290657531365784302364751",
  "points": [
    [
      "-23",
      "374"
    ],
    [
      "-40",
      "323"
    ],
    [
      "79",
      "748"
    ],
    [
      "96",
      "969"
    ],
    [
      "15",
      "348"
    ]
  ],
  "submitter": "NDElkies",
  "history": [],
  "commentary": "smallest naïve height for this MW group, by exhaustive search",
  "created_at": "2026-10-06 19:09:18",
  "updated_at": "2026-10-06 19:09:18"
}