couldn't fix my e1004 so I went with my dream psp (a 3000 series one) in a relatively odd color(for me at least,never came across a tirquise psp,not even on pictures). :
PSP Street Hack (PSP E1000, E1001, E1002, E1003, E1004, etc) | GBAtemp.net - The Independent Video Game Community
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Hack, Install Custom Firmware on Sony PSP-E1004 Street