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Computational Number Theory is for explicit calculations or algorithms involving anything of interest to number theorists.

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parametrizing a conic in $F_p$ [closed]

Let $F_p$ be a finite field and $p\equiv 3 \pmod 4$, and $a,c$ are non-square elements in $F_p$. I want to parametrize the conic: $$cy^2=-3x^2-2ax-16a$$ ($-1$ and $3$ are non-squares in this field …