{
  "id": 50,
  "curve_key": "785235216:-22700890644120",
  "ainvs": [
    "0",
    "0",
    "1",
    "-16359067",
    "26274178986"
  ],
  "rank_lower_bound": 11,
  "naive_height": 61.50685055014001,
  "faltings_height": 3.04119413905516,
  "conductor": "18031737725935636520843",
  "bad_primes": [
    "18031737725935636520843"
  ],
  "discriminant": "-18031737725935636520843",
  "regulator": "28087940.2288126473904406024985250980292392927967906350917450",
  "points": [
    [
      "-4683",
      "13535"
    ],
    [
      "-4657",
      "38196"
    ],
    [
      "-3091",
      "217503"
    ],
    [
      "-826",
      "198048"
    ],
    [
      "1165",
      "93792"
    ],
    [
      "1921",
      "44015"
    ],
    [
      "2315",
      "28452"
    ],
    [
      "2837",
      "51935"
    ],
    [
      "3656",
      "123825"
    ],
    [
      "5753",
      "350096"
    ],
    [
      "9565",
      "863072"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Smallest known conductor of an elliptic curve with rank ≥ 11 (Elkies–Watkins, 2004). From their paper \"Elliptic Curves of Large Rank and Small Conductor\" (arXiv:math/0403374).",
  "created_at": "2026-05-28 18:41:24",
  "updated_at": "2026-07-01 22:48:33"
}