Representations by Quadratic Forms — Allen Hatcher
Mathematics — Number Theory · quadratic-forms-conductor-prime
Problem
Show that for each prime p dividing the conductor for discriminant Δ there is at least one primitive form of discriminant Δ that represents a power of p. Hint: Use induction on the highest power of p dividing the conductor, along with Theorem 6.11 and Propositions 6.13 and 6.14.