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math.NT2022
Serre curves relative to obstructions modulo 2
Jacob Mayle, Rakvi
We consider elliptic curves for which the image of the adelic Galois representation is as large as possible given a constraint on the image modulo 2. For suc…
math.NT2022
Genus Modular curves of prime power level with a point defined over number fields other than $\Q$
Rakvi
Associated to an open subgroup of $\GL_2(\Zhat)$ satisfying conditions and $\det(G) \subsetneq (\Zhat)^{\times}$ there is a modular curve which is a smooth com…