{
  "id": 75,
  "curve_key": "1144624:-890361496",
  "ainvs": [
    "0",
    "1",
    "1",
    "-23846",
    "1022562"
  ],
  "rank_lower_bound": 8,
  "naive_height": 41.85176027028323,
  "faltings_height": 1.5115276305530951,
  "conductor": "409086620841461",
  "bad_primes": [
    "409086620841461"
  ],
  "discriminant": "409086620841461",
  "regulator": "13497.3934756072489297583974277373235085998065403862966",
  "points": [
    [
      "-5",
      "1068"
    ],
    [
      "-7",
      "1090"
    ],
    [
      "-15",
      "1173"
    ],
    [
      "22",
      "713"
    ],
    [
      "28",
      "614"
    ],
    [
      "37",
      "438"
    ],
    [
      "40",
      "366"
    ],
    [
      "47",
      "88"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Provenance: Elkies-Watkins, \"Elliptic curves of large rank and small conductor\" (ANTS VI / arXiv:math/0403374), Table 4 low absolute-discriminant list for r=8: [0,1,1,-23846,1022562], |Delta|=409086620841461; their I-column records 78 integral x-coordinates. The submitted integral points certify rank >= 8 here.",
  "created_at": "2026-06-01 15:47:38",
  "updated_at": "2026-07-01 22:55:23"
}