{
  "id": 5713,
  "curve_key": "0:12115973705452453800",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "-14023117714644044"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 87.88211279364417,
  "faltings_height": 5.3811653085953095,
  "conductor": "1132691503327278269384717379947025",
  "bad_primes": [
    "3",
    "5",
    "895889",
    "2504438423"
  ],
  "discriminant": "-84951862749545870203853803496026875",
  "regulator": "17379000714.6776085300486224962075806406150599986193029149943",
  "points": [
    [
      "245536",
      "27923803"
    ],
    [
      "1006361/4",
      "348891255/8"
    ],
    [
      "294926",
      "107842211"
    ],
    [
      "554816",
      "395930276"
    ],
    [
      "779876",
      "678456036"
    ],
    [
      "950116",
      "918512923"
    ],
    [
      "1042456",
      "1057747108"
    ],
    [
      "5316049/4",
      "12220313789/8"
    ],
    [
      "1393834",
      "1641304435"
    ],
    [
      "1469704",
      "1777802404"
    ],
    [
      "3176354",
      "5659763795"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Constructed from the Burkhardt quartic with the rational Bruin–Nasserden parameters (u,v,w)=(-2,-1,-2/5), specialized at t=79/671. The specialization was selected through a three-stage Mestre–Nagao sieve and verified using PARI/GP 2.17.4. Eleven rational-point witnesses satisfy the minimal Weierstrass equation by exact arithmetic. PARI returned matching computational rank bounds [11,11].",
  "created_at": "2026-10-24 14:44:45",
  "updated_at": "2026-10-24 14:44:45"
}