Let $E$ be an elliptic curve over $\mathbb{Q}$. Then how to compute the $p$-torsion elements of $E$ over the $p$-adic field $\mathbb{Q}_p$ using SAGE ? At least can we say whether $E(\mathbb{Q}_p)[p]=0$ or not ?

1 | initial version |

Let $E$ be an elliptic curve over $\mathbb{Q}$. Then how to compute the $p$-torsion elements of $E$ over the $p$-adic field $\mathbb{Q}_p$ using SAGE ? At least can we say whether $E(\mathbb{Q}_p)[p]=0$ or not ?

2 | retagged |

Let $E$ be an elliptic curve over $\mathbb{Q}$. Then how to compute the $p$-torsion elements of $E$ over the $p$-adic field $\mathbb{Q}_p$ using SAGE ? At least can we say whether $E(\mathbb{Q}_p)[p]=0$ or not ?

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