{
  "id": 303,
  "curve_key": "692083509173871089117409:-496053304010027767229199189586759377",
  "ainvs": [
    "1",
    "-1",
    "1",
    "-14418406441122314356613",
    "574135768533729332199631492462717"
  ],
  "rank_lower_bound": 16,
  "torsion": [],
  "naive_height": 164.68198073762565,
  "faltings_height": 11.71368614220444,
  "conductor": "465635685763725597459079854496238023467975734617660671674730",
  "bad_primes": [
    "2",
    "3",
    "5",
    "5889019217",
    "12754129273",
    "68882668174529078293938516321916984417"
  ],
  "discriminant": "49435758489582663623226776897710037271715557545122875841777670553600",
  "regulator": "843718278546028622.9239499523459486473574173665126346451507378629907049",
  "points": [
    [
      "-683617917186977/6241",
      "-14283046944005241755008/493039"
    ],
    [
      "-98149833831515/2209",
      "-3485505877609528933172/103823"
    ],
    [
      "97173516212095",
      "-957903075109673924992"
    ],
    [
      "1218632583943/121",
      "-27598432064301364352/1331"
    ],
    [
      "11097950174017/64",
      "29359098442111050661/512"
    ],
    [
      "38859823855",
      "8515889589736016"
    ],
    [
      "36594401208086327/170569",
      "-6041837420960395993447424/70444997"
    ],
    [
      "216705743698162063/1234321",
      "-80598415195711739854692832/1371330631"
    ],
    [
      "24247123770033991/765625",
      "8184909782410988891230336/669921875"
    ],
    [
      "616670120352535/6889",
      "-495804028983498775424/571787"
    ],
    [
      "83576302044384343/1792921",
      "-4372618772574377310652048/2400721219"
    ],
    [
      "305940074164099/1225",
      "4803294575566282458748/42875"
    ],
    [
      "-225152040788657/5041",
      "12026146937381689368448/357911"
    ],
    [
      "-100997307175",
      "31624999497196756"
    ],
    [
      "434707683613/16",
      "910632088997334017/64"
    ],
    [
      "-40622193867653/324",
      "118235798585625091321/5832"
    ]
  ],
  "submitter": "Christopher R. Hill",
  "commentary": "Found with Rank Hunter v0.7.13; family=Mestre/Fermigier sextuple, generic rank >=11; parameter=2769/2; local status: rigorous rank lower bound >= 16.",
  "created_at": "2026-08-23 20:08:10",
  "updated_at": "2026-08-23 20:20:30"
}