{
  "id": 4065,
  "curve_key": "-76744607:-5945365260145",
  "ainvs": [
    "1",
    "0",
    "0",
    "1598846",
    "6881343029"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4
  ],
  "naive_height": 58.82726616814753,
  "faltings_height": 2.9618764038453107,
  "conductor": "31433727",
  "bad_primes": [
    "3",
    "13",
    "61",
    "73",
    "181"
  ],
  "discriminant": "-20717230006770760159281",
  "regulator": "82.21451890005336409216640159335793293277437660",
  "points": [
    [
      "-1075",
      "63152"
    ],
    [
      "5516",
      "425657"
    ],
    [
      "3319",
      "219139"
    ],
    [
      "-1460",
      "38617"
    ]
  ],
  "submitter": "NDElkies",
  "history": [],
  "commentary": "smallest conductor of an elliptic curve with this MW group and naïve height at most 2^90",
  "created_at": "2026-10-09 02:53:45",
  "updated_at": "2026-10-09 02:53:45"
}