{
  "id": 4039,
  "curve_key": "238816:86376320",
  "ainvs": [
    "0",
    "1",
    "0",
    "-4975",
    "-101631"
  ],
  "rank_lower_bound": 5,
  "torsion": [
    2
  ],
  "naive_height": 37.15034597979334,
  "faltings_height": 1.1173743315899032,
  "conductor": "765253504",
  "bad_primes": [
    "2",
    "17",
    "137",
    "151"
  ],
  "discriminant": "3564550821632",
  "regulator": "140.534196088966821393400017992078412395158934616",
  "points": [
    [
      "-23",
      "34"
    ],
    [
      "-40",
      "187"
    ],
    [
      "79",
      "68"
    ],
    [
      "1039",
      "-33428"
    ],
    [
      "96",
      "561"
    ]
  ],
  "submitter": "NDElkies",
  "history": [],
  "commentary": "2nd-smallest naïve height for this MW group, by exhaustive search",
  "created_at": "2026-10-06 19:07:42",
  "updated_at": "2026-10-06 19:07:42"
}