I have observed that when considering real quadratic fields with class number 1 and 2 having 2 ramified primes, the first ramified prime was (almost always, like 98% of the time) congruent to $3 \bmod 4$ in the case of class number 1 fields and congruent to $1 \bmod 4$ in the case of class number 2 fields. Is there any result known in the litterature regarding these ? Maybe something stated in the language of binary quadratic forms ?
for example : http://www.lmfdb.org/NumberField/?hst=List°ree=2&signature=%5B2%2C0%5D&class_number=1&num_ram=2&search_type=List
Thanks !