Your class uses the wizard's spell list to select spells according to the description of the Eldritch Knight class:
When you reach the 3rd level, you increase your martial skill with the
ability to cast spells. See the spell rules for the general rules of
Spell casting and spell listing for the wizard spell list.
You learn two cantrips of your choice of wizard spell list.
The Eldritch Knight spell casting table shows how many spell spaces you have to cast your wizard spells 1st level and above.
Unfortunately, Eldritch Blast is only in the sorcerer's spell list. The only not homemade The way to access is to use the feat of Warlock Magic Initiate or multiclass for Warlock, and even the & # 39; Spell casting ability & # 39; Warlock's class description says:
Charisma is your ability to cast spells for your sorcerer's spells
It's a bit horrible that an Eldritch Knight can't do all things & # 39; Eldritch & # 39 ;, but that's the way the class is written.