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Showing 1 to 2 of 2 for “"Cubic twists"”.
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Vanishing and non-vanishing of L-series of elliptic curves twisted by Dirichlet characters
… indicating the vanishing behaviour of cyclic twists of orders 3, 5, 7 and conductors up to 5000 for elliptic curves of conductor less than 100. We prove results for vanishing in the case of cyclic cubic twists and non-vanishing in the case of cyclic twists of arbitrary prime order. Let L ( E, …
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On the main conjectures of Iwasawa theory for certain elliptic curves with complex multiplication
… $2$, we study infinite families of quadratic and cubic twists of the elliptic curve $A = X_0(27)$, so that they have complex multiplication by the ring of integers of $\mathbb{Q}(\sqrt{-3})$. For the family of quadratic twists, we establish a lower bound for the $2$-adic valuation of the algebraic …