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For questions about torsion theories in abelian categories and related concepts.
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Model of an elliptic curve with p-torsion
Suppose I have an elliptic curve $E$ defined over a number field $K$.
I know that if it has
a $2$ $K$-torsion, it has a model of the form:
$E: Y^2=X^3+aX^2+bX$
a $3$ $K$-torsion, it has a model of …