{
  "id": 79,
  "curve_key": "24696336:-121657002840",
  "ainvs": [
    "0",
    "0",
    "1",
    "-514507",
    "140806716"
  ],
  "rank_lower_bound": 9,
  "naive_height": 51.06649635154127,
  "faltings_height": 2.114888621874499,
  "conductor": "151673348057775877",
  "bad_primes": [
    "409",
    "6129953",
    "60496301"
  ],
  "discriminant": "151673348057775877",
  "regulator": "82462.036760633052867653702337648351572050396724991183500",
  "points": [
    [
      "8",
      "11691"
    ],
    [
      "-22",
      "12333"
    ],
    [
      "-48",
      "12860"
    ],
    [
      "83",
      "9933"
    ],
    [
      "-114",
      "14070"
    ],
    [
      "159",
      "7938"
    ],
    [
      "184",
      "7236"
    ],
    [
      "198",
      "6833"
    ],
    [
      "-207",
      "15441"
    ]
  ],
  "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=9: [0,0,1,-514507,140806716], |Delta|=151673348057775877, I=126. The submitted integral points give the rank >= 9 witness checked by the site.",
  "created_at": "2026-06-02 18:44:31",
  "updated_at": "2026-07-01 22:51:31"
}