{
  "id": 6216,
  "curve_key": "0:-193355592415924248",
  "ainvs": [
    "0",
    "0",
    "1",
    "0",
    "223791194925838"
  ],
  "rank_lower_bound": 11,
  "torsion": [],
  "family": "mordell",
  "families": [
    "mordell"
  ],
  "naive_height": 79.60661467268308,
  "faltings_height": 4.691540465181885,
  "conductor": "7211879845392172563924114983481",
  "bad_primes": [
    "3",
    "281947",
    "3174939899"
  ],
  "discriminant": "-21635639536176517691772344950443",
  "regulator": "25805493215.3162600332925666171913473102227786644503391644769",
  "points": [
    [
      "-60146",
      "2492098"
    ],
    [
      "178321/4",
      "141396443/8"
    ],
    [
      "63604",
      "21933973"
    ],
    [
      "72118",
      "24471970"
    ],
    [
      "98324",
      "34268778"
    ],
    [
      "257788",
      "131738389"
    ],
    [
      "271988",
      "142635114"
    ],
    [
      "-6151886/625",
      "233245999138/15625"
    ],
    [
      "-3495743/64",
      "3993340895/512"
    ],
    [
      "5984737/16",
      "14672165263/64"
    ],
    [
      "22290136/3249",
      "2772420829498/185193"
    ]
  ],
  "submitter": "jesper-petersen",
  "history": [],
  "commentary": "Generic-rank-4 Burkhardt fibration associated with quartic coordinates (8, 13, 31, 16, -14), specialized at t=8364/10145. PARI/GP 2.17.4 returned rank bounds [11,11].",
  "created_at": "2026-10-30 22:10:20",
  "updated_at": "2026-10-30 22:10:20"
}