Hello there,
In theory, you can install 15" rims. The tires you have on now are wrong size according to specs for a 13" rim.
Check this: L700 tire size on 14"
And this: https://www.wheel-size.com/size/daihatsu/cuore/1999/
Also, the rims have 2 dimensions.
- How big they are (15")
- How wide the are (6J)
And together are written J6X15.
After that comes the pattern of the bolts and the distance betwiin them. In your case, there are 4 bolts and they have 100mm distance betwiin them. So you need rims 4X100.
Excample: 5.5Jx14 4x100.
Now, in my opinion, because your Cuore has the 1.0 EJDE engine, like my Sirion, do not go with the 15" rims. They are far to big for the car and you will lose some power and your fuel consumption will be of the charge.
Try 5Jx14 steel or 6Jx14 4x100 aluminum rims. that way you can install tires from 165/65R14 up to 175/50R14 for the steel rim and from 175/60R14 up to 185/50R14 for the aluminum rim. And that because the two rims have different width. Steel 5", Aluminum 6".