Just because the wall you are removing is under a floor joist, does not necessarily define the joist or wall as load bearing.
If there is a wall above this joist, in standard framing, the joist would be doubled, there-by transferring the load created by the wall to it's bearing ends.
If there is not a wall above, the wall in the basement could be a natural partition intended to define a separate space in the basement/

Unless you are very confident (and competent) in structural design and analysis of wood framed walls, get an engineer pr an architect to look at your wall before doing anything.

While floor joists parallel to a wall often mean that the joist load is being carried by the supports at the ends of the joists, there could easily be a framed wall and/or posts above the wall in question that are bearing on it. It that case it would be good practice to double up the joist between the two walls, but who knows what the framer may have been thingking?

Much better to get a trained professional to evaluate the situation.

Good luck on your project.