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Results tagged with nt.number-theory
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user 515077
Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions
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answer
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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
vote
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