{
  "id": 83,
  "curve_key": "89112016:-927152864920",
  "ainvs": [
    "0",
    "1",
    "1",
    "-1856500",
    "1072474760"
  ],
  "rank_lower_bound": 10,
  "naive_height": 55.11076858348722,
  "faltings_height": 2.561371787165621,
  "conductor": "87950374485438204043",
  "bad_primes": [
    "1651819847",
    "53244531869"
  ],
  "discriminant": "-87950374485438204043",
  "regulator": "995214.3440764446000421615341619391028494443800016433750965",
  "points": [
    [
      "26",
      "32003"
    ],
    [
      "-80",
      "34935"
    ],
    [
      "91",
      "30071"
    ],
    [
      "116",
      "29303"
    ],
    [
      "211",
      "26271"
    ],
    [
      "-244",
      "38871"
    ],
    [
      "248",
      "25047"
    ],
    [
      "349",
      "21614"
    ],
    [
      "-433",
      "42371"
    ],
    [
      "-463",
      "42813"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Provenance: Elkies-Watkins, Elliptic curves of large rank and small conductor (arXiv:math/0403374), Table 4 low absolute-discriminant list for r=10: [0,1,1,-1856500,1072474760], |Delta|=87950374485438204043, I=154. The submitted integral points give the rank >= 10 witness checked by the site.",
  "created_at": "2026-06-02 18:44:35",
  "updated_at": "2026-07-01 22:50:31"
}