SSD's need to be '1' filled, four times too, not zero filled.
Default state for the chips is 1, and 4 levels deep.
Be aware that due to built in wear leveling, SSD's cannot be fully 'zeroed' so to speak. A portion of capacity is reserved by the manufacturer for wear leveling (promotes longer life) that the user cannot see or access.
Got something so sensitive you want NO evidence left then use a live version of Linux. Knoppix used to scramble/clear all ram on shutdown. Dunno if they still do or not.
Be aware that newer computers using DDR4 memory can keep data stored in their chips for a LONG time.
"Zero filling is a method of formatting a hard disk whereby the formatter wipes the disk contents by overwriting them with zeros. Each bit present in the disk is replaced by a zero value, hence the name zero filling. Once the data are overwritten with zeros, the process cannot be undone from the hard drive." - Bing definition