Allude is used when someone suggests, calls attention to, or hints at something indirectly.
From just a sorrowful look in her eyes, Beverly alluded to the fact that Jack was indeed Jean-Luc’s son. It had been kept secret for 20 years.
Elude means to evade or escape from a danger (perceived or real), an enemy, or pursuer, typically in a skillful or cunning way.
The crew of the ship was forced to elude the enemy named Vadic or risk being annihilated.
The trick I use to remember the difference? Evade and Escape, similar in meaning to Elude, both start with an “e”. Hopefully that helps!