{
  "id": 4069,
  "curve_key": "609831025:-15059326963625",
  "ainvs": [
    "1",
    "1",
    "1",
    "-12704813",
    "17424482906"
  ],
  "rank_lower_bound": 4,
  "torsion": [
    4
  ],
  "naive_height": 60.68607740568316,
  "faltings_height": 2.704893082326518,
  "conductor": "224902425",
  "bad_primes": [
    "3",
    "5",
    "11",
    "41",
    "61",
    "109"
  ],
  "discriminant": "5264384537045390625",
  "regulator": "101.3233565306469461907577158749380813303591173",
  "points": [
    [
      "-1656",
      "185017"
    ],
    [
      "-4035",
      "56917"
    ],
    [
      "3041",
      "81683"
    ],
    [
      "1776",
      "20710"
    ]
  ],
  "submitter": "NDElkies",
  "history": [],
  "commentary": "smallest |disc| of a curve of naïve height at most 2^90 with this MW group",
  "created_at": "2026-10-09 03:08:23",
  "updated_at": "2026-10-09 03:08:23"
}