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Results tagged with algebraic-curves
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user 478525
for questions on one dimensional algebraic varieties over any field, including questions of moduli, and questions about specific curves.
1
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86
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Bad primes of twists of modular curves $X_E^{-1}(p)$
I am interested in a good reference for reading about primes of bad reduction for the modular curve $X_E^{-}(N)$, which is a twist of $X(N)$ parametrizing all elliptic curves $E'$ whose $N$-torsion mo …
- 637
1
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0
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170
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Supersingular points on the modular curve $X_0(p)$ over $\mathbb{F}_p$ and their Frobenius a...
I am trying to understand certain points on the modular curve $X_0(p)$ over $\mathbb{F}_p$ (where $p$ is a rational prime) via their moduli description.
A point $P \in X_0(p)$ can be viewed as $P:=(E, …
- 637
6
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2
answers
422
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Good and bad reduction for twists of algebraic curves
Suppose we have two curves $C/\mathbb{Q}$ and $C'/\mathbb{Q}$ which are twists of each other i.e. they are isomorphic over a field extension $K/\mathbb{Q}$.
Suppose that $C$ has good reduction at a pr …
- 637