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.
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,

Why E is correct and what's wrong with A

Answer choice A implies that the scholars themselves were based on accounts of various ancient writers.

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.
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,


Answer choice A implies that the scholars themselves were based on accounts of various ancient writers.

So there must be someone to make scholars to be based on accounts. I did not really understood.