{
  "id": 84,
  "curve_key": "117049296:-1334964971160",
  "ainvs": [
    "0",
    "0",
    "1",
    "-2438527",
    "1545098346"
  ],
  "rank_lower_bound": 10,
  "naive_height": 55.83985233721011,
  "faltings_height": 2.5934334409263733,
  "conductor": "103294665688000244363",
  "bad_primes": [
    "568841213",
    "181587872551"
  ],
  "discriminant": "-103294665688000244363",
  "regulator": "883114.6071087112093983008109847701591149707946289746317701",
  "points": [
    [
      "-17",
      "39831"
    ],
    [
      "20",
      "38682"
    ],
    [
      "57",
      "37500"
    ],
    [
      "67",
      "37175"
    ],
    [
      "-127",
      "43043"
    ],
    [
      "169",
      "33731"
    ],
    [
      "281",
      "29699"
    ],
    [
      "-324",
      "47970"
    ],
    [
      "-353",
      "48599"
    ],
    [
      "354",
      "26948"
    ]
  ],
  "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=10: [0,0,1,-2438527,1545098346], |Delta|=103294665688000244363, I=173. The submitted integral points give the rank >= 10 witness checked by the site.",
  "created_at": "2026-06-02 18:44:35",
  "updated_at": "2026-07-01 22:50:31"
}