Unfortunately it seems unlikely that your coin can be an official
mule, for that
equestrian statue
rev. type of
Trajan was not
still being struck at the end of
his reign,
nor does your
obverse have the earliest
legend of Hadrian's reign.
Trajan's Equus Traiani
denarius type was struck essentially in the year 112, possibly a little way into 113 also. It cannot have been struck after 114, for it never occurs in combination with Trajan's two final honorary titles, namely Optimus as
part of
his name, assumed in 114, and Parthicus, assumed in 116.
As to the
obverse legend of your coin,
IMP CAES TRAIAN HADRIANO
AVG DIVI
TRA, it is of Hadrian's second issue in 117, because it omits Trajan's honorary title Optimus, which does occur in
his first issue, apparently having been voted by the Senate, but
Hadrian then declined it. See Okidoki's Issue 1
CONCORDIA sestertius in an adjoining
Forvm thread.
So I don't know what to make of your coin. Both dies appear to be in official
style, but it seems very unlikely that an
Equestrian Statue
rev. die of 112 was
still present at the
mint in c. October 117, and was erroneously used to strike
denarii of
Hadrian. A deliberate revival of Trajan's
Equestrian Statue
type in connection with
his consecration in 117 also seems unlikely, because the
rev. legend doesn't call
Trajan Divus, and because the titulature of
Hadrian in incomplete, needing to be continued by PARTH F DIVI
NER NEP P M TR P COS, as on all other
rev. dies of this issue.