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most citedElliptic curves over totally real quartic fields not containing are modular

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math.NT2021★ 1 cited

Elliptic curves over totally real quartic fields not containing are modular

Josha Box

We prove that every elliptic curve defined over a totally real number field of degree 4 not containing is modular. To this end, we study the quartic points on four modul…

math.NT2021

Models for quotients of modular curves

Josha Box

We describe an algorithm for computing a $\Q$-rational model for the quotient of a modular curve by an automorphism group, under mild assumptions on the curve and the automorphisms…