{
  "id": 47,
  "curve_key": "5106441:-11274515685",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-106384",
    "13075804"
  ],
  "rank_lower_bound": 8,
  "naive_height": 46.33803972609496,
  "faltings_height": 1.7639419667318916,
  "conductor": "249649566346838",
  "bad_primes": [
    "2",
    "7",
    "17832111881917"
  ],
  "discriminant": "3495093928855732",
  "regulator": "4242.55153529952471732889342600472402806810042207796774",
  "points": [
    [
      "-375",
      "548"
    ],
    [
      "-374",
      "854"
    ],
    [
      "-370",
      "1482"
    ],
    [
      "-1469/4",
      "14149/8"
    ],
    [
      "-361",
      "2263"
    ],
    [
      "-348",
      "2978"
    ],
    [
      "-342",
      "3232"
    ],
    [
      "-1337/4",
      "28119/8"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Smallest known conductor of an elliptic curve with rank ≥ 8 (Elkies–Watkins, 2004). From their paper \"Elliptic Curves of Large Rank and Small Conductor\" (arXiv:math/0403374).",
  "created_at": "2026-05-28 16:24:30",
  "updated_at": "2026-07-01 22:55:23"
}