{
  "id": 56,
  "curve_key": "13296:-3945240",
  "ainvs": [
    "0",
    "0",
    "1",
    "-277",
    "4566"
  ],
  "rank_lower_bound": 6,
  "naive_height": 30.376040693827097,
  "faltings_height": 0.5828325577145619,
  "conductor": "7647224363",
  "bad_primes": [
    "7647224363"
  ],
  "discriminant": "-7647224363",
  "regulator": "159.18394480133901410572598227360268100133182426854",
  "points": [
    [
      "-22",
      "3"
    ],
    [
      "-21",
      "33"
    ],
    [
      "-19",
      "54"
    ],
    [
      "-14",
      "75"
    ],
    [
      "-12",
      "78"
    ],
    [
      "-7",
      "78"
    ]
  ],
  "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=6: [0,0,1,-277,4566], |Delta|=7647224363; their I-column records 49 integral x-coordinates. The submitted points certify rank >= 6 here.",
  "created_at": "2026-05-29 00:03:59",
  "updated_at": "2026-07-01 22:58:19"
}