{
  "id": 5894,
  "curve_key": "0:7288763683579909600960800",
  "ainvs": [
    "0",
    "0",
    "0",
    "0",
    "-8436069078217487964075"
  ],
  "rank_lower_bound": 7,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell",
    "cubesum"
  ],
  "naive_height": 114.4967523455315,
  "faltings_height": 7.599051937919254,
  "conductor": "2733286381342466100360300",
  "bad_primes": [
    "2",
    "3",
    "5",
    "7",
    "13",
    "73",
    "97",
    "109",
    "151"
  ],
  "discriminant": "-30744256964741535050433158008413955027941630000",
  "regulator": "942156506.8710100564617454296257095351737203152523878",
  "points": [
    [
      "84451277131/1225",
      "24223961494350904/42875"
    ],
    [
      "81205167349579/3200521",
      "508843190477879119408/5725732069"
    ],
    [
      "1619329811491441/14273284",
      "64974786237974392439639/53924466952"
    ],
    [
      "9663230637808801/81252196",
      "947527374423977104197649/732407294744"
    ],
    [
      "16143409265627371/290736601",
      "1999952342689455848519644/4957349783651"
    ],
    [
      "22903293713362699/554555401",
      "3251992610387544529382968/13059225138149"
    ],
    [
      "29520739105318279/1342709449",
      "2303285130428510077689658/49200902339707"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Burkhardt quartic specialization b=-1, c=-a-d, t=d, with a=1/4, d=23/19, followed by rational cube scaling. The resulting cubesum curve is u^3+v^3=954513206010. PARI/GP 2.17.4 ellrank bounds [7,7].",
  "created_at": "2026-10-25 20:19:14",
  "updated_at": "2026-10-25 20:19:14"
}