{
  "id": 6224,
  "curve_key": "2817049318381449185612910472766080:-149323616998066867606106972326801248249334804210048",
  "ainvs": [
    "0",
    "1",
    "0",
    "-58688527466280191366935634849293",
    "172828260414429225351633173655215433532259221775"
  ],
  "rank_lower_bound": 11,
  "torsion": [
    3
  ],
  "family": null,
  "families": [],
  "naive_height": 231.06299419487144,
  "faltings_height": 17.03823396716565,
  "conductor": "32736769003255761661213081100841716671044",
  "bad_primes": [
    "2",
    "3",
    "11",
    "17",
    "19",
    "29",
    "37",
    "41",
    "43",
    "101",
    "107",
    "127",
    "401",
    "523",
    "5653",
    "174367",
    "1430569993"
  ],
  "discriminant": "33509280434380543360357017041321430555282471573413743534292586529714061858761810356196810904832",
  "regulator": "36160012338.8015505411981558718880256143257825410716899367730",
  "points": [
    [
      "3895655569767581",
      "57610380159491195845638"
    ],
    [
      "4287874121782562",
      "3938879900303750591409"
    ],
    [
      "4290876981013577",
      "2242297379148899056974"
    ],
    [
      "-31872933962943807478/6241",
      "287214642001257889806446942229/493039"
    ],
    [
      "-7608955894950968875/961",
      "11192054601994201351278045270/29791"
    ],
    [
      "16140342961911413/4",
      "331199125566333659392527/8"
    ],
    [
      "16650741910130525/4",
      "205085247482993351439195/8"
    ],
    [
      "116675491030211501/25",
      "3011546511560158776028674/125"
    ],
    [
      "117102686112454121/25",
      "3303051665851967332418406/125"
    ],
    [
      "223292894023447634/49",
      "1390298597139014097249231/343"
    ],
    [
      "1774749874632616474937/414736",
      "1831172193952016802485747317749/267089984"
    ]
  ],
  "submitter": "apkorte",
  "history": [],
  "commentary": "Specialization at T = 5332/6817 of the fibration given in curve#6191. Found by Claude (Anthropic): a Mestre-Nagao sieve over the fibration, then a 2-covering point search seeded with its generic sections.",
  "created_at": "2026-10-31 05:26:14",
  "updated_at": "2026-10-31 05:26:14"
}