{
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  "submitter": "Lewis Combes",
  "history": [],
  "commentary": "E has trivial torsion and rank at least 32.  It is the fibre at t = -248188/1981293 of a rank-17 elliptic K3 surface (the same surface as #4239). Assuming GRH, a Selmer-group bound computed with conditional class groups gives rank at most 32, so the rank is exactly 32 under GRH. \r\n\r\nFound by a collaboration between:\r\nBlair Butler, Lewis Combes, Shir Levav-Porat\r\n\r\nSearch performed by Claude code Opus 5.5",
  "created_at": "2026-11-04 05:59:04",
  "updated_at": "2026-11-04 05:59:04"
}