Sentence Correction

Based on accounts of various ancient writers, scholars
have painted a sketchy picture of the activities of an
all-female cult that, perhaps as early as the sixth
century B.C., worshipped a goddess known in Latin as
Bona Dea, "the good goddess."
(A) Based on accounts of various ancient writers,
(B) Basing it on various ancient writers' accounts,
(C) With accounts of various ancient writers used
for a basis,
(D) By the accounts of various ancient writers
they used,
(E) Using accounts of various ancient writers,

I am unable to understand the problem with A