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for questions on one dimensional algebraic varieties over any field, including questions of moduli, and questions about specific curves.
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Family of elliptic curves in $\mathbb P^3$
For points $p_1=[1,0,0,0], p_2=[0,1,0,0], p_3=[0,0,1,0]$, $p_4=[0,0,0,1]$ and $p_5=[1,1,1,1]$
in the projective space $\mathbb P^3$, Let $l_{ij}$ be the line through $p_i, p_j$.
Let
$$C=l_{12} \cup …