{
  "id": 4038,
  "curve_key": "317401:81627875",
  "ainvs": [
    "1",
    "0",
    "1",
    "-6613",
    "-95028"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "naive_height": 38.00376371300429,
  "faltings_height": 1.2211539438843948,
  "conductor": "1568718634",
  "bad_primes": [
    "2",
    "7",
    "23",
    "29",
    "103",
    "233"
  ],
  "discriminant": "14648694604292",
  "regulator": "65.2858310378620456192986539741088875094585406450",
  "points": [
    [
      "88",
      "36"
    ],
    [
      "-27",
      "266"
    ],
    [
      "249",
      "3578"
    ],
    [
      "-50",
      "358"
    ],
    [
      "111",
      "680"
    ]
  ],
  "submitter": "NDElkies",
  "history": [],
  "commentary": "3rd-smallest naïve height for this MW group, by exhaustive search",
  "created_at": "2026-10-06 19:05:48",
  "updated_at": "2026-10-06 19:05:48"
}