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Results tagged with elliptic-curves
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user 515077
An elliptic curve is an algebraic curve of genus one with some additional properties. Questions with this tag will often have the top-level tags nt.number-theory or ag.algebraic-geometry. Note also the tag arithmetic-geometry as well as some related tags such as rational-points, abelian-varieties, heights. Please do not use this tag for questions related to ellipses; instead use conic-sections.
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3-divisibility of Manin constant for elliptic curves with 3-torsion
Let $E/\mathbb{Q}$ be an elliptic curve with $E(\mathbb{Q}) \cong \mathbb{Z}/3\mathbb{Z}$ (not necessarily $\Gamma_0$-optimal). Does $3$ necessarily divide one of: the Manin constant (not necessarily …
- 91
1
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3-divisibility of Manin constant for elliptic curves with 3-torsion
Perhaps there is an elementary answer after all. Here is my attempt at a partial answer assuming BSD.
Let $c_0(E)$ denote the Manin constant of $E$, and let $L(E)$ denote the special L-value of $E$ di …
- 91