{
  "id": 5790,
  "curve_key": "0:-59332731171192",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "68672142559"
  ],
  "rank_lower_bound": 9,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 63.42836445740178,
  "faltings_height": 3.343352947241777,
  "conductor": "679084295569625540125521",
  "bad_primes": [
    "3",
    "439",
    "1979",
    "316177"
  ],
  "discriminant": "-2037252886708876620376563",
  "regulator": "769229157596.62409386731956462994870718473929615753066712",
  "points": [
    [
      "-4303348056431/1117564900",
      "4019760690418659253/37360194607000"
    ],
    [
      "-65756952503/18164644",
      "11280701661646631/77417712728"
    ],
    [
      "-55476681047/22714756",
      "25181144399825537/108258527096"
    ],
    [
      "-2693409058943/1794200164",
      "19418969108834481469/75998730546712"
    ],
    [
      "99860685697/69089344",
      "153762482530131521/574270627328"
    ],
    [
      "895493761921/206209600",
      "1149023369916489281/2961169856000"
    ],
    [
      "2321964887833/374267716",
      "4014860161992287927/7240583233736"
    ],
    [
      "11147453712793/1043677636",
      "38253291621243342647/33717049708616"
    ],
    [
      "37950594055993/2352832036",
      "235696137315957094487/114126470738216"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Specialization at t = -789/521 of a generic rank-four Mordell family obtained from the Burkhardt parametrization with construction parameters (-6,-1,-9).\r\n\r\nThe specialization was identified by an optimized Mestre–Nagao sieve using 328 primes and examined using PARI/GP 2.17.4.\r\n\r\nPARI/GP returned matching computational rank bounds [9,9].",
  "created_at": "2026-10-25 09:10:40",
  "updated_at": "2026-10-25 09:10:40"
}