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The minimal twist of a newform $f$ is the twist $g$ of $f$ whose label is lexicographically minimal among all twists of $f$ that are both twist minimal and have minimal character $\chi$.

A key feature of the minimal twist $g$ (and more generally, of any twist minimal $g$ of level $N$ and minimal character $\chi$) is that for any character $\psi$, the level $M$ of the twist $g\otimes\psi$ can be computed as $M={\rm lcm}(N,{\rm cond}(\psi){\rm cond}(\chi\psi))$.

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• Review status: reviewed
• Last edited by Andrew Sutherland on 2020-02-06 08:55:33
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