Quote:
Originally Posted by R.D. Silverman
Is there an associated L-function? Is there a motive?
What does the j-invariant look like? Is the variety even Abelian?
How many localizations yield singularities? (i.e. how many primes have
bad reduction)
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And I stupidly forgot perhaps the most obvious question: What is its
genus? i.e. if viewed as a Riemann surface over C, how many holes
does the surface have? Then one might study conformal maps of
that surface.