{
  "id": 5711,
  "curve_key": "0:15508603945936715976",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-17949773085574903"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 88.37585327419394,
  "faltings_height": 5.422310348641124,
  "conductor": "63643329150346501736733922108041",
  "bad_primes": [
    "3",
    "53",
    "514867",
    "97450543"
  ],
  "discriminant": "-139187960851807799298237087650285667",
  "regulator": "99887179000.0895949047576185139972943191842901381055329056604",
  "points": [
    [
      "261969",
      "5345257"
    ],
    [
      "347667",
      "155156539"
    ],
    [
      "496869",
      "323599522"
    ],
    [
      "543687",
      "377838175"
    ],
    [
      "592125",
      "435495541"
    ],
    [
      "1538907",
      "1904348515"
    ],
    [
      "9122217/16",
      "26183612875/64"
    ],
    [
      "4386271/9",
      "8444153024/27"
    ],
    [
      "20292865/36",
      "86713001803/216"
    ],
    [
      "15934911/25",
      "61365703091/125"
    ],
    [
      "10581743188945/28579716",
      "27674077649987958301/152787161736"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Constructed from the Burkhardt quartic via the rational Bruin–Nasserden parametrization, using (u,v,w)=(-9/4,1/2,-3/2) and specialization t=-617/824. The candidate was discovered by a three-stage Mestre–Nagao sieve and subsequently tested using PARI/GP 2.17.4. Eleven rational-point witnesses were verified exactly on the minimal Weierstrass model. PARI returned matching computational rank bounds [11,11].",
  "created_at": "2026-10-24 14:43:36",
  "updated_at": "2026-10-24 14:43:36"
}