{
  "id": 77,
  "curve_key": "10692057:-34976089629",
  "ainvs": [
    "1",
    "-1",
    "0",
    "-222751",
    "40537273"
  ],
  "rank_lower_bound": 8,
  "naive_height": 48.555861023046056,
  "faltings_height": 1.78842300271875,
  "conductor": "292246301470558",
  "bad_primes": [
    "2",
    "5904737",
    "24746767"
  ],
  "discriminant": "-584492602941116",
  "regulator": "30188.1405517264055310896306502872057316069977838122348",
  "points": [
    [
      "-21",
      "-6713"
    ],
    [
      "26",
      "5883"
    ],
    [
      "-37",
      "-6962"
    ],
    [
      "-47",
      "-7111"
    ],
    [
      "109",
      "4134"
    ],
    [
      "116",
      "3973"
    ],
    [
      "137",
      "3478"
    ],
    [
      "194",
      "2047"
    ]
  ],
  "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=8: [1,-1,0,-222751,40537273], |Delta|=584492602941116, I=101. The submitted integral points give the rank >= 8 witness checked by the site.",
  "created_at": "2026-06-02 18:44:30",
  "updated_at": "2026-07-01 22:55:24"
}