{
  "id": 48,
  "curve_key": "6480201:-83909859525",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-135004",
    "97151644"
  ],
  "rank_lower_bound": 9,
  "naive_height": 50.30601791742373,
  "faltings_height": 2.2491384627836597,
  "conductor": "32107342006814614",
  "bad_primes": [
    "2",
    "61",
    "263174934482087"
  ],
  "discriminant": "-3917095724831382908",
  "regulator": "33288.740573083599055593661213206843477412693238540465426",
  "points": [
    [
      "-556",
      "-42"
    ],
    [
      "-452",
      "-7878"
    ],
    [
      "-233",
      "-10650"
    ],
    [
      "-25",
      "-10013"
    ],
    [
      "197",
      "8743"
    ],
    [
      "446",
      "10980"
    ],
    [
      "801",
      "22015"
    ],
    [
      "1219",
      "41138"
    ],
    [
      "1876",
      "79334"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Smallest known conductor of an elliptic curve with rank ≥ 9 (Elkies–Watkins, 2004). From their paper \"Elliptic Curves of Large Rank and Small Conductor\" (arXiv:math/0403374).",
  "created_at": "2026-05-28 18:27:55",
  "updated_at": "2026-07-01 22:51:30"
}