As a general rule: Real estate property is always taxed where it is located.
This is also true for Real estate in France (based on the existing double taxation treaty between Switzerland and France).
So there is no Swiss tax on the house in France.
But...
Swiss income tax:
You still have to declare the French house in your Swiss tax return.
The income that you have with the house (rent or theoretical rent income) is
taken into account for the determination of the Swiss tax rate (i.e. there is no Swiss tax levied on this 'income' but - due to the progressive tax rates - it increases the tax that you pay on your other taxable income.
Swiss wealth tax:
Same with wealth tax. No Swiss wealth tax on the French house. But higher tax rate on your 'normal' taxable wealth.
Mortgage interests:
These can partly (i.e. in relation to your taxable wealth taxable in Switzerland and in France) be deducted from the Swiss taxable income.
Example (simplyfied

):
The tax value of your house in France is CHF 300'000
The tax value of your other assets is CHF 200'000
You do have a mortgage of CHF 200'000 on the house in France and pay a yearly mortgage interest of 10'000.
3/5 of your wealth is taxed in France
2/5 of your wealth is taxed in Switzerland
--> 2/5 of your mortgage interest is tax deductible in Switzerland
Hope this is not tooooo complicated. Cheers.