{
  "id": 5738,
  "curve_key": "0:-1369774396778749608024",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "1585387033308737972"
  ],
  "rank_lower_bound": 12,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 97.33786601054128,
  "faltings_height": 6.169144743336735,
  "conductor": "22159413951135999675678779986365429483",
  "bad_primes": [
    "3",
    "7",
    "347",
    "124322141842321"
  ],
  "discriminant": "-1085811283605663984108260219331906044667",
  "regulator": "16340839872692.077251456033825365535183291701680699881450101571",
  "points": [
    [
      "-1133006",
      "361862252"
    ],
    [
      "-687470",
      "1122710291"
    ],
    [
      "566062",
      "1329198300"
    ],
    [
      "1380820",
      "2053812708"
    ],
    [
      "6865033/4",
      "20615642127/8"
    ],
    [
      "45509044",
      "307008373787"
    ],
    [
      "-96316806304775/110628324",
      "1119371629179509145737/1163588711832"
    ],
    [
      "35693833/64",
      "679025342565/512"
    ],
    [
      "319431280/81",
      "5782399087139/729"
    ],
    [
      "12213253465/53824",
      "15780689624214819/12487168"
    ],
    [
      "58383037510/229441",
      "139097461711123549/109902239"
    ],
    [
      "59302293736/34225",
      "16495738528200516/6331625"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Constructed from the Burkhardt quartic using the rational Bruin–Nasserden parametrization with parameters (u,v,w)=(-14/6,2/6,-7/6) and specialization t=325/848. The specialization was selected through a three-stage Mestre–Nagao sieve over 328 primes. PARI/GP 2.17.4 returned matching computational rank bounds [12,12] for this model and its rationally 3-isogenous partner.",
  "created_at": "2026-10-24 18:08:57",
  "updated_at": "2026-10-24 18:08:57"
}