Modular guessing?

\(\overline{ABCD} \equiv 11 \pmod{15}\)

\(A \equiv 1 \pmod{7}\)

\(\overline{AB} \equiv 0 \pmod{7}\)

\(C + A \equiv 0 \pmod{7}\)

\(C \equiv D \equiv 1 \pmod{5}\)


\(\overline{ABCD} = ~?\)

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