{
  "id": 29,
  "curve_key": "311738735319921:-5487609984705535174281",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-6494556985832",
    "6351402068900282539"
  ],
  "rank_lower_bound": 8,
  "naive_height": 100.1195596984162,
  "faltings_height": 6.158449360060919,
  "conductor": "72422714076260761748899710",
  "bad_primes": [
    "2",
    "3",
    "5",
    "37",
    "151",
    "251",
    "5939",
    "96619896654233"
  ],
  "discriminant": "104878982358622652630973814596384000000",
  "regulator": "192112.135790124168751416663971415608442987571179367034",
  "points": [
    [
      "1634797",
      "320450201"
    ],
    [
      "-2569043",
      "-2464593799"
    ],
    [
      "1725397",
      "530370401"
    ],
    [
      "1536847",
      "10928201"
    ],
    [
      "-1037903",
      "-3459834799"
    ],
    [
      "-947303",
      "-3413266399"
    ],
    [
      "1536949",
      "13272713"
    ],
    [
      "13057",
      "2503312241"
    ]
  ],
  "submitter": "David Renshaw",
  "commentary": "Found by Grunewald - Zimmert (1977). A historical rank ≥ 8 record, via Dujella's elliptic-curve rank-records tables.",
  "created_at": "2026-05-27 22:12:09",
  "updated_at": "2026-07-01 22:56:22"
}